Kotsireas, Ilias; Mansour, Toufik; Yıldırım, Gökhan An algorithmic approach based on generating trees for enumerating pattern-avoiding inversion sequences. (English) Zbl 1519.05008 J. Symb. Comput. 120, Article ID 102231, 18 p. (2024). MSC: 05A05 05A15 05A16 PDFBibTeX XMLCite \textit{I. Kotsireas} et al., J. Symb. Comput. 120, Article ID 102231, 18 p. (2024; Zbl 1519.05008) Full Text: DOI arXiv
Yaqubi, Daniel; Ghouchan, Mohammad Farrokhi Derakhshandeh; Ghasemian Zoeram, Hamed Lattice paths inside a table. (English) Zbl 07796493 Math. Commun. 28, No. 2, 181-201 (2023). MSC: 05A15 11B39 PDFBibTeX XMLCite \textit{D. Yaqubi} et al., Math. Commun. 28, No. 2, 181--201 (2023; Zbl 07796493) Full Text: arXiv Link
Pétréolle, Mathias; Sokal, Alan D.; Zhu, Bao-Xuan Lattice paths and branched continued fractions: an infinite sequence of generalizations of the Stieltjes-Rogers and Thron-Rogers polynomials, with coefficientwise Hankel-total positivity. (English) Zbl 1528.05001 Memoirs of the American Mathematical Society 1450. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-6268-0/pbk; 978-1-4704-7683-0/ebook). v, 154 p. (2023). MSC: 05-02 33-02 05A15 05A19 42C05 33C05 33C20 33D05 05A20 05C30 05E05 15B05 15B48 30B70 30E05 44A60 11B68 11A55 11B75 PDFBibTeX XMLCite \textit{M. Pétréolle} et al., Lattice paths and branched continued fractions: an infinite sequence of generalizations of the Stieltjes-Rogers and Thron-Rogers polynomials, with coefficientwise Hankel-total positivity. Providence, RI: American Mathematical Society (AMS) (2023; Zbl 1528.05001) Full Text: DOI arXiv
Krattenthaler, C. Hankel determinants of linear combinations of moments of orthogonal polynomials. II. (English) Zbl 07695120 Ramanujan J. 61, No. 2, 597-627 (2023). Reviewer: Francisco Marcellán (Leganes) MSC: 33C45 42C05 15B05 15A15 15B52 11C20 11M50 05A15 05A40 PDFBibTeX XMLCite \textit{C. Krattenthaler}, Ramanujan J. 61, No. 2, 597--627 (2023; Zbl 07695120) Full Text: DOI arXiv
Archer, Kassie; Graves, Christina A new statistic on Dyck paths for counting 3-dimensional Catalan words. (English) Zbl 1506.05010 Discrete Math. 346, No. 3, Article ID 113247, 16 p. (2023). MSC: 05A15 05A19 05A05 PDFBibTeX XMLCite \textit{K. Archer} and \textit{C. Graves}, Discrete Math. 346, No. 3, Article ID 113247, 16 p. (2023; Zbl 1506.05010) Full Text: DOI arXiv
Lin, Zhicong; Kim, Dongsu A combinatorial bijection on \(k\)-noncrossing partitions. (English) Zbl 07614049 Combinatorica 42, No. 4, 559-586 (2022). Reviewer: Stefano Capparelli (Roma) MSC: 05A18 05A19 PDFBibTeX XMLCite \textit{Z. Lin} and \textit{D. Kim}, Combinatorica 42, No. 4, 559--586 (2022; Zbl 07614049) Full Text: DOI arXiv
Rusu, Irena Raney numbers, threshold sequences and Motzkin-like paths. (English) Zbl 1495.05014 Discrete Math. 345, No. 11, Article ID 113065, 8 p. (2022). MSC: 05A15 05A05 05C05 05A19 PDFBibTeX XMLCite \textit{I. Rusu}, Discrete Math. 345, No. 11, Article ID 113065, 8 p. (2022; Zbl 1495.05014) Full Text: DOI arXiv
Archer, Kassie; Graves, Christina Pattern-restricted permutations composed of 3-cycles. (English) Zbl 1490.05006 Discrete Math. 345, No. 7, Article ID 112895, 15 p. (2022). Reviewer: Vincent Vatter (Gainesville) MSC: 05A15 05A05 PDFBibTeX XMLCite \textit{K. Archer} and \textit{C. Graves}, Discrete Math. 345, No. 7, Article ID 112895, 15 p. (2022; Zbl 1490.05006) Full Text: DOI arXiv
Prodinger, Helmut Retakh’s Motzkin paths and some combinatorial comments. (English) Zbl 1491.05020 Enumer. Comb. Appl. 1, No. 1, Article ID S2R4, 5 p. (2021). MSC: 05A15 05A16 PDFBibTeX XMLCite \textit{H. Prodinger}, Enumer. Comb. Appl. 1, No. 1, Article ID S2R4, 5 p. (2021; Zbl 1491.05020) Full Text: DOI arXiv
Uray, János M. A family of barely expansive polynomials. (English) Zbl 1499.11320 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Math. 64, 225-234 (2021). MSC: 11R06 11R09 11C08 PDFBibTeX XMLCite \textit{J. M. Uray}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Math. 64, 225--234 (2021; Zbl 1499.11320)
Yang, Lin; Yang, Sheng-Liang Combinatorial matrices derived from generalized Motzkin paths. (English) Zbl 1478.05016 Indian J. Pure Appl. Math. 52, No. 2, 599-613 (2021). MSC: 05B20 05A15 05A05 15B36 PDFBibTeX XMLCite \textit{L. Yang} and \textit{S.-L. Yang}, Indian J. Pure Appl. Math. 52, No. 2, 599--613 (2021; Zbl 1478.05016) Full Text: DOI
Yang, Lin; Yang, Sheng-Liang Riordan arrays, Łukasiewicz paths and Narayana polynomials. (English) Zbl 1465.05004 Linear Algebra Appl. 622, 1-18 (2021). MSC: 05A05 05A10 05A15 05A19 15B36 11B83 PDFBibTeX XMLCite \textit{L. Yang} and \textit{S.-L. Yang}, Linear Algebra Appl. 622, 1--18 (2021; Zbl 1465.05004) Full Text: DOI
Cigler, Johann; Krattenthaler, Christian Friedrich Hankel determinants of linear combinations of moments of orthogonal polynomials. (English) Zbl 1471.11119 Int. J. Number Theory 17, No. 2, 341-369 (2021). MSC: 11C20 05A10 05A15 05A19 15A15 33C45 42C05 PDFBibTeX XMLCite \textit{J. Cigler} and \textit{C. F. Krattenthaler}, Int. J. Number Theory 17, No. 2, 341--369 (2021; Zbl 1471.11119) Full Text: DOI arXiv
Nabawanda, Olivia; Rakotondrajao, Fanja Sets of flattened partitions with forbidden patterns. (English) Zbl 1455.05003 J. Integer Seq. 24, No. 1, Article 21.1.5, 15 p. (2021). MSC: 05A05 05A10 05A15 05A18 11B39 PDFBibTeX XMLCite \textit{O. Nabawanda} and \textit{F. Rakotondrajao}, J. Integer Seq. 24, No. 1, Article 21.1.5, 15 p. (2021; Zbl 1455.05003) Full Text: arXiv Link
McCalla, Peter; Nkwanta, Asamoah Catalan and Motzkin integral representations. (English) Zbl 1473.11048 Ortega, Omayra (ed.) et al., The golden anniversary celebration of the National Association of Mathematicians. AMS special session on the mathematics of historically black colleges and universities, HBCUs in the Mid-Atlantic. MAA invited paper session on the past 50 years of African Americans in the mathematical sciences. Haynes-Granville-Browne session of presentations by recent doctoral recipients. 2019 Claytor-Wookdard lecture. NAM David Harold Blackwell lecture, Baltimore, MD, USA and Cincinnati, OH, USA, January 17, 18 and 19 and August 2, 2019. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 759, 125-134 (2020). MSC: 11B65 11B83 PDFBibTeX XMLCite \textit{P. McCalla} and \textit{A. Nkwanta}, Contemp. Math. 759, 125--134 (2020; Zbl 1473.11048) Full Text: DOI arXiv
Yang, Lin; Yang, Sheng-Liang A relation between Schröder paths and Motzkin paths. (English) Zbl 1458.05021 Graphs Comb. 36, No. 5, 1489-1502 (2020). MSC: 05A15 05A05 15A09 PDFBibTeX XMLCite \textit{L. Yang} and \textit{S.-L. Yang}, Graphs Comb. 36, No. 5, 1489--1502 (2020; Zbl 1458.05021) Full Text: DOI
Yang, Sheng-Liang; Dong, Yan-Ni; He, Tian-Xiao Addition formulas for generalized Motzkin sequences. (English) Zbl 1463.05009 Ars Comb. 145, 281-300 (2019). MSC: 05A10 05A15 05A19 15A09 11B83 PDFBibTeX XMLCite \textit{S.-L. Yang} et al., Ars Comb. 145, 281--300 (2019; Zbl 1463.05009)
Birmajer, Daniel; Gil, Juan B.; McNamara, Peter R. W.; Weiner, Michael D. Enumeration of colored Dyck paths via partial Bell polynomials. (English) Zbl 1422.05009 Andrews, George E. (ed.) et al., Lattice path combinatorics and applications. Based on the 8th international conference on lattice path combinatorics and applications, California State Polytechnic University, Pomona (Cal Poly Pomona), CA, USA, August 17–20, 2015. Cham: Springer. Dev. Math. 58, 155-165 (2019). MSC: 05A15 05A19 11B73 PDFBibTeX XMLCite \textit{D. Birmajer} et al., Dev. Math. 58, 155--165 (2019; Zbl 1422.05009) Full Text: DOI arXiv
Yan, Sherry H. F.; Zhou, Hao; Lin, Zhicong A new encoding of permutations by Laguerre histories. (English) Zbl 1420.05009 Electron. J. Comb. 26, No. 3, Research Paper P3.47, 10 p. (2019). MSC: 05A05 05A19 11B68 PDFBibTeX XMLCite \textit{S. H. F. Yan} et al., Electron. J. Comb. 26, No. 3, Research Paper P3.47, 10 p. (2019; Zbl 1420.05009) Full Text: arXiv Link
Baril, Jean-Luc; Kirgizov, Sergey; Petrossian, Armen Motzkin paths with a restricted first return decomposition. (English) Zbl 1427.05014 Integers 19, Paper A46, 19 p. (2019). MSC: 05A15 05C15 05C38 PDFBibTeX XMLCite \textit{J.-L. Baril} et al., Integers 19, Paper A46, 19 p. (2019; Zbl 1427.05014) Full Text: Link
Mei, Zhousheng; Wang, Suijie Pattern avoidance of generalized permutations. (English) Zbl 1414.05017 Adv. Appl. Math. 106, 1-19 (2019). MSC: 05A05 05A15 05A19 05E10 PDFBibTeX XMLCite \textit{Z. Mei} and \textit{S. Wang}, Adv. Appl. Math. 106, 1--19 (2019; Zbl 1414.05017) Full Text: DOI arXiv
Jiu, Lin; Shi, Diane Yahui Orthogonal polynomials and connection to generalized Motzkin numbers for higher-order Euler polynomials. (English) Zbl 1444.11039 J. Number Theory 199, 389-402 (2019). Reviewer: Thomas Ernst (Uppsala) MSC: 11B68 33D45 05A99 PDFBibTeX XMLCite \textit{L. Jiu} and \textit{D. Y. Shi}, J. Number Theory 199, 389--402 (2019; Zbl 1444.11039) Full Text: DOI
Białecki, Mariusz Catalan numbers out of a stochastic cellular automaton. (English) Zbl 1448.37016 J. Math. Phys. 60, No. 1, 012701, 6 p. (2019). Reviewer: Jean-Paul Allouche (Paris) MSC: 37B15 11B83 37A44 PDFBibTeX XMLCite \textit{M. Białecki}, J. Math. Phys. 60, No. 1, 012701, 6 p. (2019; Zbl 1448.37016) Full Text: DOI
Baril, Jean-Luc; Kirgizov, Sergey; Petrossian, Armen Forests and pattern-avoiding permutations modulo pure descents. (English) Zbl 1449.05001 PU.M.A., Pure Math. Appl. 27, No. 1, 18-31 (2018). MSC: 05A05 05A15 05A19 PDFBibTeX XMLCite \textit{J.-L. Baril} et al., PU.M.A., Pure Math. Appl. 27, No. 1, 18--31 (2018; Zbl 1449.05001) Full Text: DOI
Krattenthaler, C.; Yaqubi, D. Some determinants of path generating functions. II. (English) Zbl 1397.05022 Adv. Appl. Math. 101, 232-265 (2018). MSC: 05A19 05A10 05A15 11C20 15A15 PDFBibTeX XMLCite \textit{C. Krattenthaler} and \textit{D. Yaqubi}, Adv. Appl. Math. 101, 232--265 (2018; Zbl 1397.05022) Full Text: DOI arXiv
Wang, Ying; Xin, Guoce A classification of Motzkin numbers modulo 8. (English) Zbl 1391.05022 Electron. J. Comb. 25, No. 1, Research Paper P1.54, 15 p. (2018). MSC: 05A10 11B50 PDFBibTeX XMLCite \textit{Y. Wang} and \textit{G. Xin}, Electron. J. Comb. 25, No. 1, Research Paper P1.54, 15 p. (2018; Zbl 1391.05022) Full Text: Link
Lin, Zhicong Restricted inversion sequences and enhanced 3-noncrossing partitions. (English) Zbl 1384.05045 Eur. J. Comb. 70, 202-211 (2018). MSC: 05A18 05A15 05A10 PDFBibTeX XMLCite \textit{Z. Lin}, Eur. J. Comb. 70, 202--211 (2018; Zbl 1384.05045) Full Text: DOI arXiv
Eu, Sen-Peng; Fu, Tung-Shan; Hsu, Hsiang-Chun; Liao, Hsin-Chieh Signed countings of types B and D permutations and \(t,q\)-Euler numbers. (English) Zbl 1384.05006 Adv. Appl. Math. 97, 1-26 (2018). MSC: 05A05 05A15 05A19 11B68 PDFBibTeX XMLCite \textit{S.-P. Eu} et al., Adv. Appl. Math. 97, 1--26 (2018; Zbl 1384.05006) Full Text: DOI arXiv
Sun, Zhi-Wei Arithmetic properties of Delannoy numbers and Schröder numbers. (English) Zbl 1433.11025 J. Number Theory 183, 146-171 (2018). MSC: 11B75 05A10 05A19 11A07 11B65 11C08 PDFBibTeX XMLCite \textit{Z.-W. Sun}, J. Number Theory 183, 146--171 (2018; Zbl 1433.11025) Full Text: DOI arXiv
Bojičić, Radica; Petković, Marko D.; Rajković, Predrag M. Hankel transforms of generalized Motzkin numbers. (English) Zbl 1431.05005 Math. Methods Appl. Sci. 40, No. 16, 5810-5820 (2017). MSC: 05A15 33C45 PDFBibTeX XMLCite \textit{R. Bojičić} et al., Math. Methods Appl. Sci. 40, No. 16, 5810--5820 (2017; Zbl 1431.05005) Full Text: DOI
Chen, Zhi; Pan, Hao Notes on the \(q\)-colored Motzkin numbers and Schröder numbers. (English) Zbl 1371.05010 J. Difference Equ. Appl. 23, No. 6, 1133-1141 (2017). MSC: 05A15 05A10 05A19 05A20 33C10 PDFBibTeX XMLCite \textit{Z. Chen} and \textit{H. Pan}, J. Difference Equ. Appl. 23, No. 6, 1133--1141 (2017; Zbl 1371.05010) Full Text: DOI
Yang, Sheng-Liang; Dong, Yan-Ni; He, Tian-Xiao Some matrix identities on colored Motzkin paths. (English) Zbl 1370.05114 Discrete Math. 340, No. 12, 3081-3091 (2017). MSC: 05C38 05C15 11B39 PDFBibTeX XMLCite \textit{S.-L. Yang} et al., Discrete Math. 340, No. 12, 3081--3091 (2017; Zbl 1370.05114) Full Text: DOI
Chen, Zhi; Pan, Hao Identities involving weighted Catalan, Schröder and Motzkin paths. (English) Zbl 1358.05013 Adv. Appl. Math. 86, 81-98 (2017). MSC: 05A15 05A10 05A19 PDFBibTeX XMLCite \textit{Z. Chen} and \textit{H. Pan}, Adv. Appl. Math. 86, 81--98 (2017; Zbl 1358.05013) Full Text: DOI arXiv
Bojičić, Radica; Petković, Marko D. Orthogonal polynomials approach to the Hankel transform of sequences based on Motzkin numbers. (English) Zbl 1387.11021 Bull. Malays. Math. Sci. Soc. (2) 40, No. 1, 19-33 (2017). MSC: 11B83 11C20 11Y55 PDFBibTeX XMLCite \textit{R. Bojičić} and \textit{M. D. Petković}, Bull. Malays. Math. Sci. Soc. (2) 40, No. 1, 19--33 (2017; Zbl 1387.11021) Full Text: DOI
Liu, Lily Li; Li, Xiaoli Taylor expansions for the generating function of Catalan-like numbers. (English) Zbl 1438.05004 Cogent Math. 3, Article ID 1200305, 12 p. (2016). MSC: 05A15 05A19 05A20 11B83 15A45 PDFBibTeX XMLCite \textit{L. L. Liu} and \textit{X. Li}, Cogent Math. 3, Article ID 1200305, 12 p. (2016; Zbl 1438.05004) Full Text: DOI
Hu, Han; Zhao, Feng; Zhao, Tongyuan On \(S\)-\((p,q)\)-Dyck paths. (English) Zbl 1413.05016 Ars Comb. 125, 225-246 (2016). MSC: 05A15 05A19 11B83 PDFBibTeX XMLCite \textit{H. Hu} et al., Ars Comb. 125, 225--246 (2016; Zbl 1413.05016)
Baril, Jean-Luc Avoiding patterns in irreducible permutations. (English) Zbl 1329.05007 Discrete Math. Theor. Comput. Sci. 17, No. 3, 13-30 (2016). MSC: 05A05 11B39 PDFBibTeX XMLCite \textit{J.-L. Baril}, Discrete Math. Theor. Comput. Sci. 17, No. 3, 13--30 (2016; Zbl 1329.05007) Full Text: Link
Chang, Xiang-Ke; Hu, Xing-Biao; Lei, Hongchuan; Yeh, Yeong-Nan Combinatorial proofs of addition formulas. (English) Zbl 1329.05027 Electron. J. Comb. 23, No. 1, Research Paper P1.8, 13 p. (2016). MSC: 05A19 05A15 15A15 PDFBibTeX XMLCite \textit{X.-K. Chang} et al., Electron. J. Comb. 23, No. 1, Research Paper P1.8, 13 p. (2016; Zbl 1329.05027) Full Text: Link
Grimaldi, Ralph P. Motzkin paths with exactly one weak ascent. (English) Zbl 1342.05004 Congr. Numerantium 224, 39-63 (2015). Reviewer: Astrid Reifegerste (Magdeburg) MSC: 05A05 05A15 11B39 PDFBibTeX XMLCite \textit{R. P. Grimaldi}, Congr. Numerantium 224, 39--63 (2015; Zbl 1342.05004)
Krattenthaler, Christian Lattice path enumeration. (English) Zbl 1332.05009 Bóna, Miklós (ed.), Handbook of enumerative combinatorics. Boca Raton, FL: CRC Press (ISBN 978-1-4822-2085-8/hbk; 978-1-4822-2086-5/ebook). Discrete Mathematics and its Applications, 589-678 (2015). Reviewer: Ioan Tomescu (Bucureşti) MSC: 05A15 05-02 PDFBibTeX XMLCite \textit{C. Krattenthaler}, in: Handbook of enumerative combinatorics. Boca Raton, FL: CRC Press. 589--678 (2015; Zbl 1332.05009) Full Text: arXiv
Elouafi, Mohamed A unified approach for the Hankel determinants of classical combinatorial numbers. (English) Zbl 1366.15022 J. Math. Anal. Appl. 431, No. 2, 1253-1274 (2015). MSC: 15B05 05A10 15A15 PDFBibTeX XMLCite \textit{M. Elouafi}, J. Math. Anal. Appl. 431, No. 2, 1253--1274 (2015; Zbl 1366.15022) Full Text: DOI
Stanley, Richard P. [Pak, Igor] Catalan numbers. (English) Zbl 1317.05010 Cambridge: Cambridge University Press (ISBN 978-1-107-07509-2/hbk; 978-1-107-42774-7/pbk; 978-1-139-87149-5/ebook). viii, 215 p. (2015). Reviewer: László A. Székely (Columbia) MSC: 05A10 05-01 11-01 05A15 11B65 11B75 11B83 PDFBibTeX XMLCite \textit{R. P. Stanley}, Catalan numbers. Cambridge: Cambridge University Press (2015; Zbl 1317.05010) Full Text: DOI
Zhang, Kai; Zhang, Jiachuan; Duan, Haibao; Li, Jingzhi Effective algorithms for computing triangular operator in Schubert calculus. (English) Zbl 1337.14044 Front. Math. China 10, No. 1, 221-237 (2015). Reviewer: Cenap Özel (Bolu) MSC: 14N15 14M15 14Q15 PDFBibTeX XMLCite \textit{K. Zhang} et al., Front. Math. China 10, No. 1, 221--237 (2015; Zbl 1337.14044) Full Text: DOI
Baril, Jean-Luc; Petrossian, Armen Equivalence classes of Dyck paths modulo some statistics. (English) Zbl 1305.05006 Discrete Math. 338, No. 4, 655-660 (2015). MSC: 05A15 11B39 PDFBibTeX XMLCite \textit{J.-L. Baril} and \textit{A. Petrossian}, Discrete Math. 338, No. 4, 655--660 (2015; Zbl 1305.05006) Full Text: DOI
De Castro, Rodrigo; Ramírez, José L. Enumeration of \(k\)-Fibonacci paths using infinite weighted automata. (English) Zbl 1432.52015 Int. J. Math. Comb. 2014, No. 2, 20-35 (2014). MSC: 68Q45 11B39 05A15 PDFBibTeX XMLCite \textit{R. De Castro} and \textit{J. L. Ramírez}, Int. J. Math. Comb. 2014, No. 2, 20--35 (2014; Zbl 1432.52015) Full Text: arXiv
Baril, Jean-Luc; Mansour, Toufik; Petrossian, Armen Equivalence classes of permutations modulo excedances. (English) Zbl 1312.05002 J. Comb. 5, No. 4, 453-469 (2014). MSC: 05A05 05A15 11B39 11B73 PDFBibTeX XMLCite \textit{J.-L. Baril} et al., J. Comb. 5, No. 4, 453--469 (2014; Zbl 1312.05002) Full Text: DOI
Cameron, Naiomi T.; Matthews, Lynnell S. A Motzkin variation on the tennis ball problem. (English) Zbl 1324.05008 Ars Comb. 114, 145-152 (2014). MSC: 05A19 05A05 11B39 PDFBibTeX XMLCite \textit{N. T. Cameron} and \textit{L. S. Matthews}, Ars Comb. 114, 145--152 (2014; Zbl 1324.05008)
Sun, Zhi-Wei Congruences involving generalized central trinomial coefficients. (English) Zbl 1339.11026 Sci. China, Math. 57, No. 7, 1375-1400 (2014). MSC: 11B65 11A07 11B75 05A10 05A15 11E25 PDFBibTeX XMLCite \textit{Z.-W. Sun}, Sci. China, Math. 57, No. 7, 1375--1400 (2014; Zbl 1339.11026) Full Text: DOI arXiv
Lengyel, Tamás Exact \(p\)-adic orders for differences of Motzkin numbers. (English) Zbl 1305.11017 Int. J. Number Theory 10, No. 3, 653-667 (2014). Reviewer: Enzo Bonacci (Latina) MSC: 11B83 11B50 11A07 05A19 PDFBibTeX XMLCite \textit{T. Lengyel}, Int. J. Number Theory 10, No. 3, 653--667 (2014; Zbl 1305.11017) Full Text: DOI
Corteel, Sylvie; Josuat-Vergès, Matthieu; Kim, Jang Soo Crossings of signed permutations and \(q\)-Eulerian numbers of type \(B\). (English) Zbl 1275.05003 J. Comb. 4, No. 2, 191-228 (2013). MSC: 05A05 11B68 PDFBibTeX XMLCite \textit{S. Corteel} et al., J. Comb. 4, No. 2, 191--228 (2013; Zbl 1275.05003) Full Text: DOI Link
Chang, Xiang-Ke; Hu, Xing-Biao; Zhang, Ying-Nan A direct method for evaluating some nice Hankel determinants and proofs of several conjectures. (English) Zbl 1263.15006 Linear Algebra Appl. 438, No. 5, 2523-2541 (2013). Reviewer: Dmitri Artamonov (Moscow) MSC: 15A15 05A15 11B83 PDFBibTeX XMLCite \textit{X.-K. Chang} et al., Linear Algebra Appl. 438, No. 5, 2523--2541 (2013; Zbl 1263.15006) Full Text: DOI
He, Tian-Xiao Parametric Catalan numbers and Catalan triangles. (English) Zbl 1257.05003 Linear Algebra Appl. 438, No. 3, 1467-1484 (2013). MSC: 05A05 05A15 15B36 05A30 05A10 05A19 PDFBibTeX XMLCite \textit{T.-X. He}, Linear Algebra Appl. 438, No. 3, 1467--1484 (2013; Zbl 1257.05003) Full Text: DOI
Luca, Florian; Stănică, Pantelimon On some conjectures on the monotonicity of some arithmetical sequences. (English) Zbl 1339.11038 J. Comb. Number Theory 4, No. 2, 115-123 (2012). Reviewer: Stephan Wagner (Stellenbosch) MSC: 11B83 11B65 11B68 05A10 PDFBibTeX XMLCite \textit{F. Luca} and \textit{P. Stănică}, J. Comb. Number Theory 4, No. 2, 115--123 (2012; Zbl 1339.11038)
Prodinger, Helmut On Touchard’s continued fraction and extensions: combinatorics-free, self-contained proofs. (English) Zbl 1274.11021 Quaest. Math. 35, No. 4, 431-445 (2012). MSC: 11A55 05A15 05A05 PDFBibTeX XMLCite \textit{H. Prodinger}, Quaest. Math. 35, No. 4, 431--445 (2012; Zbl 1274.11021) Full Text: DOI arXiv
Eu, Sen-Peng; Wong, Tsai-Lien; Yen, Pei-Lan Hankel determinants of sums of consecutive weighted Schröder numbers. (English) Zbl 1252.15008 Linear Algebra Appl. 437, No. 9, 2285-2299 (2012). Reviewer: Dmitri Artamonov (Moscow) MSC: 15A15 05A15 15B05 PDFBibTeX XMLCite \textit{S.-P. Eu} et al., Linear Algebra Appl. 437, No. 9, 2285--2299 (2012; Zbl 1252.15008) Full Text: DOI arXiv
Munarini, Emanuele Riordan matrices and sums of harmonic numbers. (English) Zbl 1265.05041 Appl. Anal. Discrete Math. 5, No. 2, 176-200 (2011). MSC: 05A15 05A10 PDFBibTeX XMLCite \textit{E. Munarini}, Appl. Anal. Discrete Math. 5, No. 2, 176--200 (2011; Zbl 1265.05041) Full Text: DOI
Salaam, Lifoma; Shapiro, Louis Counting mutations and anti-chains in complete binary trees. (English) Zbl 1247.05060 Congr. Numerantium 210, 5-20 (2011). MSC: 05C05 05C30 05A15 05A19 PDFBibTeX XMLCite \textit{L. Salaam} and \textit{L. Shapiro}, Congr. Numerantium 210, 5--20 (2011; Zbl 1247.05060)
Abrate, Marco; Barbero, Stefano; Cerruti, Umberto; Murru, Nadir Fixed sequences for a generalization of the binomial interpolated operator and for some other operators. (English) Zbl 1254.11018 J. Integer Seq. 14, No. 8, Article 11.8.1, 14 p. (2011). MSC: 11B37 11B39 11B65 05A19 PDFBibTeX XMLCite \textit{M. Abrate} et al., J. Integer Seq. 14, No. 8, Article 11.8.1, 14 p. (2011; Zbl 1254.11018) Full Text: arXiv EMIS
Cigler, J.; Krattenthaler, C. Some determinants of path generating functions. (English) Zbl 1227.05067 Adv. Appl. Math. 46, No. 1-4, 144-174 (2011). MSC: 05A19 05A10 05A15 11C20 15A15 PDFBibTeX XMLCite \textit{J. Cigler} and \textit{C. Krattenthaler}, Adv. Appl. Math. 46, No. 1--4, 144--174 (2011; Zbl 1227.05067) Full Text: DOI arXiv
Cameron, Naiomi T.; Yip, Andrew C. M. Hankel determinants of sums of consecutive Motzkin numbers. (English) Zbl 1209.15010 Linear Algebra Appl. 434, No. 3, 712-722 (2011). Reviewer: Jorma K. Merikoski (Tampere) MSC: 15A15 05A15 PDFBibTeX XMLCite \textit{N. T. Cameron} and \textit{A. C. M. Yip}, Linear Algebra Appl. 434, No. 3, 712--722 (2011; Zbl 1209.15010) Full Text: DOI
Luca, Florian; Shparlinski, Igor E. On the \(g\)-ary expansions of Apéry, Motzkin, Schröder and other combinatorial numbers. (English) Zbl 1233.05020 Ann. Comb. 14, No. 4, 507-524 (2010). MSC: 11B83 05A10 11A67 11B05 PDFBibTeX XMLCite \textit{F. Luca} and \textit{I. E. Shparlinski}, Ann. Comb. 14, No. 4, 507--524 (2010; Zbl 1233.05020) Full Text: DOI
Li, Nelson Y.; Mansour, Toufik; Munagi, Augustine O. Plane trees and reduction rules. (English) Zbl 1207.05012 Util. Math. 81, 215-230 (2010). MSC: 05A15 05C05 PDFBibTeX XMLCite \textit{N. Y. Li} et al., Util. Math. 81, 215--230 (2010; Zbl 1207.05012)
Eu, Sen-Peng Skew-standard tableaux with three rows. (English) Zbl 1226.05257 Adv. Appl. Math. 45, No. 4, 463-469 (2010). MSC: 05E10 05A15 05A19 PDFBibTeX XMLCite \textit{S.-P. Eu}, Adv. Appl. Math. 45, No. 4, 463--469 (2010; Zbl 1226.05257) Full Text: DOI
Došlić, Tomislav Seven (lattice) paths to log-convexity. (English) Zbl 1225.05018 Acta Appl. Math. 110, No. 3, 1373-1392 (2010). MSC: 05A15 11B83 11B37 05B50 33C45 PDFBibTeX XMLCite \textit{T. Došlić}, Acta Appl. Math. 110, No. 3, 1373--1392 (2010; Zbl 1225.05018) Full Text: DOI
Cheon, Gi-Sang; Lee, Sang-Gu; Shapiro, Louis W. The fine numbers refined. (English) Zbl 1184.05006 Eur. J. Comb. 31, No. 1, 120-128 (2010). Reviewer: László A. Székely (Columbia) MSC: 05A15 05A19 05A16 PDFBibTeX XMLCite \textit{G.-S. Cheon} et al., Eur. J. Comb. 31, No. 1, 120--128 (2010; Zbl 1184.05006) Full Text: DOI
Došlić, Tomislav Log-convexity of combinatorial sequences from their convexity. (English) Zbl 1230.05046 J. Math. Inequal. 3, No. 3, 437-442 (2009). MSC: 05A20 05A16 11B37 PDFBibTeX XMLCite \textit{T. Došlić}, J. Math. Inequal. 3, No. 3, 437--442 (2009; Zbl 1230.05046) Full Text: Link
Shapiro, Louis W.; Wang, Carol J. A bijection between 3-Motzkin paths and Schröder paths with no peak at odd. (English) Zbl 1165.05300 J. Integer Seq. 12, No. 3, Article ID 09.3.2, 9 p. (2009). MSC: 05A05 05A15 05A19 PDFBibTeX XMLCite \textit{L. W. Shapiro} and \textit{C. J. Wang}, J. Integer Seq. 12, No. 3, Article ID 09.3.2, 9 p. (2009; Zbl 1165.05300) Full Text: EuDML EMIS
Eu, Sen-Peng; Liu, Shu-Chung; Yeh, Yeong-Nan Catalan and Motzkin numbers modulo 4 and 8. (English) Zbl 1149.11008 Eur. J. Comb. 29, No. 6, 1449-1466 (2008). Reviewer: Florian Luca (Morelia) MSC: 11B65 11B83 PDFBibTeX XMLCite \textit{S.-P. Eu} et al., Eur. J. Comb. 29, No. 6, 1449--1466 (2008; Zbl 1149.11008) Full Text: DOI
Blasiak, P.; Dattoli, G.; Horzela, A.; Penson, K. A.; Zhukovsky, K. Motzkin numbers, central trinomial coefficients and hybrid polynomials. (English) Zbl 1165.11027 J. Integer Seq. 11, No. 1, Article 08.1.1, 11 p. (2008). Reviewer: Alicia Cachafeiro López (Vigo) MSC: 11B83 05A19 33C45 PDFBibTeX XMLCite \textit{P. Blasiak} et al., J. Integer Seq. 11, No. 1, Article 08.1.1, 11 p. (2008; Zbl 1165.11027) Full Text: arXiv EuDML EMIS
Cheon, Gi-Sang; Shapiro, Louis W. Protected points in ordered trees. (English) Zbl 1138.05308 Appl. Math. Lett. 21, No. 5, 516-520 (2008). MSC: 05C05 PDFBibTeX XMLCite \textit{G.-S. Cheon} and \textit{L. W. Shapiro}, Appl. Math. Lett. 21, No. 5, 516--520 (2008; Zbl 1138.05308) Full Text: DOI
Došlić, Tomislav; Veljan, Darko Logarithmic behavior of some combinatorial sequences. (English) Zbl 1147.05012 Discrete Math. 308, No. 11, 2182-2212 (2008). MSC: 05A20 05A16 05E35 11B83 11B37 11B39 11B68 PDFBibTeX XMLCite \textit{T. Došlić} and \textit{D. Veljan}, Discrete Math. 308, No. 11, 2182--2212 (2008; Zbl 1147.05012) Full Text: DOI arXiv
Došlić, Tomislav; Veljan, Darko Secondary structures, plane trees and Motzkin numbers. (English) Zbl 1133.05003 Math. Commun. 12, No. 2, 163-169 (2007). MSC: 05A15 05C05 05C30 PDFBibTeX XMLCite \textit{T. Došlić} and \textit{D. Veljan}, Math. Commun. 12, No. 2, 163--169 (2007; Zbl 1133.05003)
Sapounakis, A.; Tasoulas, I.; Tsikouras, P. Some strings in Dyck paths. (English) Zbl 1144.05008 Australas. J. Comb. 39, 49-72 (2007). Reviewer: Ivan Landjev (Sofia) MSC: 05A15 PDFBibTeX XMLCite \textit{A. Sapounakis} et al., Australas. J. Comb. 39, 49--72 (2007; Zbl 1144.05008)
Callan, David A bijection on Dyck paths and its cycle structure. (English) Zbl 1112.05006 Electron. J. Comb. 14, No. 1, Research paper R28, 19 p. (2007). MSC: 05A15 05A19 PDFBibTeX XMLCite \textit{D. Callan}, Electron. J. Comb. 14, No. 1, Research paper R28, 19 p. (2007; Zbl 1112.05006) Full Text: arXiv EuDML EMIS
Chen, William Y. C.; Deutsch, Emeric; Elizalde, Sergi Old and young leaves on plane trees. (English) Zbl 1083.05013 Eur. J. Comb. 27, No. 3, 414-427 (2006). MSC: 05C05 05A15 05A05 05A19 PDFBibTeX XMLCite \textit{W. Y. C. Chen} et al., Eur. J. Comb. 27, No. 3, 414--427 (2006; Zbl 1083.05013) Full Text: DOI arXiv
Bernini, Antonio; Ferrari, Luca; Pinzani, Renzo Enumerating permutations avoiding three Babson-Steingrímsson patterns. (English) Zbl 1077.05002 Ann. Comb. 9, No. 2, 137-162 (2005). MSC: 05A05 05A15 PDFBibTeX XMLCite \textit{A. Bernini} et al., Ann. Comb. 9, No. 2, 137--162 (2005; Zbl 1077.05002) Full Text: DOI
Deutsch, Emeric; Ferrari, Luca; Rinaldi, Simone Production matrices. (English) Zbl 1064.05012 Adv. Appl. Math. 34, No. 1, 101-122 (2005). Reviewer: László A. Székely (Columbia) MSC: 05A15 05B20 11B83 68Q42 PDFBibTeX XMLCite \textit{E. Deutsch} et al., Adv. Appl. Math. 34, No. 1, 101--122 (2005; Zbl 1064.05012) Full Text: DOI
Klazar, Martin; Luca, Florian On integrality and periodicity of the Motzkin numbers. (English) Zbl 1059.05005 Aequationes Math. 69, No. 1-2, 68-75 (2005). MSC: 05A10 11B37 PDFBibTeX XMLCite \textit{M. Klazar} and \textit{F. Luca}, Aequationes Math. 69, No. 1--2, 68--75 (2005; Zbl 1059.05005) Full Text: DOI
Sun, Yidong The statistic “number of udu’s” in Dyck paths. (English) Zbl 1051.05007 Discrete Math. 287, No. 1-3, 177-186 (2004). Reviewer: László A. Székely (Columbia) MSC: 05A15 05A19 PDFBibTeX XMLCite \textit{Y. Sun}, Discrete Math. 287, No. 1--3, 177--186 (2004; Zbl 1051.05007) Full Text: DOI
Došlić, Tomislav; Svrtan, Dragutin; Veljan, Darko Enumerative aspects of secondary structures. (English) Zbl 1044.05008 Discrete Math. 285, No. 1-3, 67-82 (2004). MSC: 05A15 05A16 05A20 05B50 05C30 05C70 33C45 92D20 05E35 PDFBibTeX XMLCite \textit{T. Došlić} et al., Discrete Math. 285, No. 1--3, 67--82 (2004; Zbl 1044.05008) Full Text: DOI
Matthews, Lynnell S. Enumeration of disjoint Motzkin path systems. (English) Zbl 1046.05005 Congr. Numerantium 165, 213-222 (2003). MSC: 05A15 05B20 11B39 05C20 PDFBibTeX XMLCite \textit{L. S. Matthews}, Congr. Numerantium 165, 213--222 (2003; Zbl 1046.05005)
Bousquet-Mélou, Mireille Four classes of pattern-avoiding permutations under one roof: Generating trees with two labels. (English) Zbl 1031.05006 Electron. J. Comb. 9, No. 2, Research paper R19, 31 p. (2002-2003); printed version J. Comb. 9, No. 2, R19 (2002-2003). MSC: 05A15 05A10 PDFBibTeX XMLCite \textit{M. Bousquet-Mélou}, Electron. J. Comb. 9, No. 2, Research paper R19, 31 p. (2003; Zbl 1031.05006) Full Text: EuDML EMIS
Romik, Dan Some formulas for the central trinomial and Motzkin numbers. (English) Zbl 1030.05002 J. Integer Seq. 6, No. 2, Art. 03.2.4, 5 p. (2003). MSC: 05A10 05A15 05A19 PDFBibTeX XMLCite \textit{D. Romik}, J. Integer Seq. 6, No. 2, Art. 03.2.4, 5 p. (2003; Zbl 1030.05002) Full Text: EuDML EMIS
Došlić, Tomislav; Veljan, Darko Calculus proofs of some combinatorial inequalities. (English) Zbl 1029.05009 Math. Inequal. Appl. 6, No. 2, 197-209 (2003). Reviewer: Kokichi Sakai (Kagoshima) MSC: 05A20 05A10 26A06 PDFBibTeX XMLCite \textit{T. Došlić} and \textit{D. Veljan}, Math. Inequal. Appl. 6, No. 2, 197--209 (2003; Zbl 1029.05009) Full Text: arXiv
Eu, Sen-Peng; Liu, Shu-Chung; Yeh, Yeong-Nan Taylor expansions for Catalan and Motzkin numbers. (English) Zbl 1015.05007 Adv. Appl. Math. 29, No. 3, 345-357 (2002). Reviewer: Sanpei Kageyama (Hiroshima) MSC: 05A15 PDFBibTeX XMLCite \textit{S.-P. Eu} et al., Adv. Appl. Math. 29, No. 3, 345--357 (2002; Zbl 1015.05007) Full Text: DOI
Niederhausen, Heinrich Catalan traffic at the beach. (English) Zbl 1005.05004 Electron. J. Comb. 9, No. 1, Research paper R33, 17 p. (2002); printed version J. Comb. 9, No. 1 (2002). MSC: 05A15 05A19 PDFBibTeX XMLCite \textit{H. Niederhausen}, Electron. J. Comb. 9, No. 1, Research paper R33, 17 p. (2002; Zbl 1005.05004) Full Text: EuDML EMIS
Došlić, Tomislav Some new inequalities for Motzkin numbers. (English) Zbl 0997.05009 Math. Inequal. Appl. 5, No. 2, 171-174 (2002). Reviewer: Arnold Richard Kräuter (Leoben) MSC: 05A20 26D99 PDFBibTeX XMLCite \textit{T. Došlić}, Math. Inequal. Appl. 5, No. 2, 171--174 (2002; Zbl 0997.05009)
Guibert, O.; Pergola, E.; Pinzani, R. Vexillary involutions are enumerated by Motzkin numbers. (English) Zbl 0988.05001 Ann. Comb. 5, No. 2, 153-174 (2001). MSC: 05A05 05A15 PDFBibTeX XMLCite \textit{O. Guibert} et al., Ann. Comb. 5, No. 2, 153--174 (2001; Zbl 0988.05001) Full Text: DOI
Veljan, Darko On some primary and secondary structures in combinatorics. (English) Zbl 0994.05013 Math. Commun. 6, No. 2, 217-232 (2001). MSC: 05A15 05A10 05A16 05A20 PDFBibTeX XMLCite \textit{D. Veljan}, Math. Commun. 6, No. 2, 217--232 (2001; Zbl 0994.05013)
Sulanke, Robert A. Bijective recurrences for Motzkin paths. (English) Zbl 0992.05015 Adv. Appl. Math. 27, No. 2-3, 627-640 (2001). MSC: 05A15 PDFBibTeX XMLCite \textit{R. A. Sulanke}, Adv. Appl. Math. 27, No. 2--3, 627--640 (2001; Zbl 0992.05015) Full Text: DOI Link
Claesson, Anders Generalized pattern avoidance. (English) Zbl 0994.05004 Eur. J. Comb. 22, No. 7, 961-971 (2001). Reviewer: Christian Krattenthaler (Wien) MSC: 05A15 05A05 05A18 PDFBibTeX XMLCite \textit{A. Claesson}, Eur. J. Comb. 22, No. 7, 961--971 (2001; Zbl 0994.05004) Full Text: DOI arXiv
Barcucci, Elena; Pergola, Elisa; Pinzani, Renzo; Rinaldi, Simone ECO method and hill-free generalized Motzkin paths. (English) Zbl 0982.05007 Sémin. Lothar. Comb. 46, B46b, 14 p. (2001). MSC: 05A15 PDFBibTeX XMLCite \textit{E. Barcucci} et al., Sémin. Lothar. Comb. 46, B46b, 14 p. (2001; Zbl 0982.05007) Full Text: EuDML EMIS
Cigler, J. Some \(q\)-analogues of the Catalan numbers. (Einige \(q\)-Analoga der Catalan-Zahlen.) (German) Zbl 1001.05005 Sitzungsber., Abt. II, Österr. Akad. Wiss., Math.-Naturwiss. Kl. 209, 19-46 (2000). Reviewer: Christian Krattenthaler (Wien) MSC: 05A10 05A30 05A15 05A19 05E35 PDFBibTeX XMLCite \textit{J. Cigler}, Sitzungsber., Abt. II, Österr. Akad. Wiss., Math.-Naturwiss. Kl. 209, 19--46 (2000; Zbl 1001.05005)
Kuz’min, O. V. Pascal pyramids and their applications. (Obobshchennye piramidy paskalya i ikh prilozheniya.) (Russian. English summary) Zbl 0965.05001 Novosibirsk: Nauka, Sibirskaya izdatel’skaya firma, RAN. 293 p. (2000). Reviewer: Ioan Tomescu (Bucureşti) MSC: 05-01 05A10 05A16 05C05 60J80 PDFBibTeX XMLCite \textit{O. V. Kuz'min}, Obobshchennye piramidy paskalya i ikh prilozheniya (Russian). Novosibirsk: Nauka, Sibirskaya izdatel'skaya firma, RAN (2000; Zbl 0965.05001)
Peart, Paul Hankel determinants via Stieltjes matrices. (English) Zbl 0994.15009 Congr. Numerantium 144, 153-159 (2000). Reviewer: Arnold Richard Kräuter (Leoben) MSC: 15A15 15B57 11B75 05A15 05A10 PDFBibTeX XMLCite \textit{P. Peart}, Congr. Numerantium 144, 153--159 (2000; Zbl 0994.15009)
Barcucci, Elena; Del Lungo, Alberto; Pergola, Elisa; Pinzani, Renzo From Motzkin to Catalan permutations. (English) Zbl 0965.05004 Discrete Math. 217, No. 1-3, 33-49 (2000). Reviewer: Ralph Stanton (Winnipeg) MSC: 05A05 05A15 PDFBibTeX XMLCite \textit{E. Barcucci} et al., Discrete Math. 217, No. 1--3, 33--49 (2000; Zbl 0965.05004) Full Text: DOI
Deutsch, Emeric A bijection on ordered trees and its consequences. (English) Zbl 0943.05031 J. Comb. Theory, Ser. A 90, No. 1, 210-215 (2000). Reviewer: Lutz Volkmann (Aachen) MSC: 05C05 PDFBibTeX XMLCite \textit{E. Deutsch}, J. Comb. Theory, Ser. A 90, No. 1, 210--215 (2000; Zbl 0943.05031) Full Text: DOI
Cigler, J. \(q\)-Catalan and \(q\)-Motzkin numbers. (\(q\)-Catalan- und \(q\)-Motzkinzahlen.) (German) Zbl 1003.05010 Sitzungsber., Abt. II, Österr. Akad. Wiss., Math.-Naturwiss. Kl. 208, 3-20 (1999). MSC: 05A30 05A10 11B99 33D15 PDFBibTeX XMLCite \textit{J. Cigler}, Sitzungsber., Abt. II, Österr. Akad. Wiss., Math.-Naturwiss. Kl. 208, 3--20 (1999; Zbl 1003.05010)
Barcucci, Elena; Del Lungo, Alberto; Pergola, Elisa; Pinzani, Renzo ECO: A methodology for the enumeration of combinatorial objects. (English) Zbl 0944.05005 J. Difference Equ. Appl. 5, No. 4-5, 435-490 (1999). Reviewer: Jennifer R.Galovich (Collegeville) MSC: 05A15 05A05 05B50 PDFBibTeX XMLCite \textit{E. Barcucci} et al., J. Difference Equ. Appl. 5, No. 4--5, 435--490 (1999; Zbl 0944.05005) Full Text: DOI
Deutsch, Emeric Dyck path enumeration. (English) Zbl 0932.05006 Discrete Math. 204, No. 1-3, 167-202 (1999). Reviewer: L.A.Székely (Columbia/South Carolina) MSC: 05A15 05C05 05B50 PDFBibTeX XMLCite \textit{E. Deutsch}, Discrete Math. 204, No. 1--3, 167--202 (1999; Zbl 0932.05006) Full Text: DOI Backlinks: MO