Prodinger, Helmut Skew Dyck paths without up-down-left. (English) Zbl 07775277 Art Discrete Appl. Math. 7, No. 1, Paper No. P1.01, 9 p. (2024). MSC: 05A15 PDFBibTeX XMLCite \textit{H. Prodinger}, Art Discrete Appl. Math. 7, No. 1, Paper No. P1.01, 9 p. (2024; Zbl 07775277) Full Text: DOI arXiv
Janelidze, Zurab; Prodinger, Helmut; van Niekerk, Francois Combinatorics arising from lax colimits of posets. (English) Zbl 07780728 Order 40, No. 3, 493-524 (2023). MSC: 05A19 06A07 18N10 05A18 05A15 05C30 PDFBibTeX XMLCite \textit{Z. Janelidze} et al., Order 40, No. 3, 493--524 (2023; Zbl 07780728) Full Text: DOI arXiv
Prodinger, Helmut \(S\)-Motzkin paths with catastrophes and air pockets. (English) Zbl 07776302 DML, Discrete Math. Lett. 12, 78-85 (2023). MSC: 05A15 PDFBibTeX XMLCite \textit{H. Prodinger}, DML, Discrete Math. Lett. 12, 78--85 (2023; Zbl 07776302) Full Text: DOI arXiv
Baril, Jean-Luc; Prodinger, Helmut Enumeration of partial Łukasiewicz paths. (English) Zbl 1512.05007 Enumer. Comb. Appl. 3, No. 1, Article ID S2R2, 13 p. (2023). MSC: 05A05 05A15 PDFBibTeX XMLCite \textit{J.-L. Baril} and \textit{H. Prodinger}, Enumer. Comb. Appl. 3, No. 1, Article ID S2R2, 13 p. (2023; Zbl 1512.05007) Full Text: DOI arXiv
Prodinger, Helmut Philippe Flajolet’s early work in combinatorics. (English) Zbl 1512.05040 Enumer. Comb. Appl. 2, No. 1, Article ID S1H1, 11 p. (2022). MSC: 05A15 05A16 68P05 11B75 11B83 PDFBibTeX XMLCite \textit{H. Prodinger}, Enumer. Comb. Appl. 2, No. 1, Article ID S1H1, 11 p. (2022; Zbl 1512.05040) Full Text: DOI arXiv
Prodinger, Helmut Counting ternary trees according to the number of middle edges and factorizing into \((3/2)\)-ary trees. (English) Zbl 1504.05020 Asian-Eur. J. Math. 15, No. 11, Article ID 2250187, 5 p. (2022). MSC: 05A15 05A16 PDFBibTeX XMLCite \textit{H. Prodinger}, Asian-Eur. J. Math. 15, No. 11, Article ID 2250187, 5 p. (2022; Zbl 1504.05020) Full Text: DOI arXiv
Prodinger, Helmut Skew Dyck paths with catastrophes. (English) Zbl 1513.05026 DML, Discrete Math. Lett. 10, 9-13 (2022). MSC: 05A15 PDFBibTeX XMLCite \textit{H. Prodinger}, DML, Discrete Math. Lett. 10, 9--13 (2022; Zbl 1513.05026) Full Text: DOI arXiv
Prodinger, Helmut Partial Dyck paths with air pockets. (English) Zbl 1506.05015 Integers 22, Paper A94, 8 p. (2022). Reviewer: Markus Fulmek (Wien) MSC: 05A15 PDFBibTeX XMLCite \textit{H. Prodinger}, Integers 22, Paper A94, 8 p. (2022; Zbl 1506.05015) Full Text: arXiv Link
Prodinger, Helmut Deepest nodes in marked ordered trees. (English) Zbl 1498.05060 Ann. Math. Sil. 36, No. 2, 215-227 (2022). MSC: 05C05 05C30 05A15 PDFBibTeX XMLCite \textit{H. Prodinger}, Ann. Math. Sil. 36, No. 2, 215--227 (2022; Zbl 1498.05060) Full Text: DOI arXiv
Prodinger, Helmut Partial skew Dyck paths: a kernel method approach. (English) Zbl 1494.05006 Graphs Comb. 38, No. 5, Paper No. 135, 11 p. (2022). MSC: 05A15 05A19 PDFBibTeX XMLCite \textit{H. Prodinger}, Graphs Comb. 38, No. 5, Paper No. 135, 11 p. (2022; Zbl 1494.05006) Full Text: DOI arXiv
Prodinger, Helmut Skew Dyck paths having no peaks at level 1. (English) Zbl 1482.05015 J. Integer Seq. 25, No. 1, Article 22.1.6, 10 p. (2022). MSC: 05A15 05A19 PDFBibTeX XMLCite \textit{H. Prodinger}, J. Integer Seq. 25, No. 1, Article 22.1.6, 10 p. (2022; Zbl 1482.05015) Full Text: arXiv Link
Gu, Nancy S. S.; Prodinger, Helmut A bijection between two subfamilies of Motzkin paths. (English) Zbl 1499.05059 Appl. Anal. Discrete Math. 15, No. 2, 460-466 (2021). MSC: 05A19 05C05 PDFBibTeX XMLCite \textit{N. S. S. Gu} and \textit{H. Prodinger}, Appl. Anal. Discrete Math. 15, No. 2, 460--466 (2021; Zbl 1499.05059) Full Text: DOI
Prodinger, Helmut An elementary approach to solve recursions relative to the enumeration of S-Motzkin paths. (English) Zbl 1475.05011 J. Difference Equ. Appl. 27, No. 5, 776-785 (2021). Reviewer: Matthieu Josuat-Vergès (Paris) MSC: 05A15 05A05 PDFBibTeX XMLCite \textit{H. Prodinger}, J. Difference Equ. Appl. 27, No. 5, 776--785 (2021; Zbl 1475.05011) Full Text: DOI arXiv
Prodinger, Helmut Summing a family of generalized Pell numbers. (English) Zbl 1471.11077 Ann. Math. Sil. 35, No. 1, 105-112 (2021). MSC: 11B39 05A15 PDFBibTeX XMLCite \textit{H. Prodinger}, Ann. Math. Sil. 35, No. 1, 105--112 (2021; Zbl 1471.11077) Full Text: DOI arXiv
Gu, Nancy S. S.; Prodinger, Helmut Combinatorics on lattice paths in strips. (English) Zbl 07333297 Eur. J. Comb. 94, Article ID 103310, 14 p. (2021). MSC: 05Axx 11Bxx PDFBibTeX XMLCite \textit{N. S. S. Gu} and \textit{H. Prodinger}, Eur. J. Comb. 94, Article ID 103310, 14 p. (2021; Zbl 07333297) Full Text: DOI arXiv
Aumüller, Martin; Dietzfelbinger, Martin; Heuberger, Clemens; Krenn, Daniel; Prodinger, Helmut Dual-pivot quicksort: optimality, analysis and zeros of associated lattice paths. (English) Zbl 1432.68108 Comb. Probab. Comput. 28, No. 4, 485-518 (2019). MSC: 68P10 68W40 PDFBibTeX XMLCite \textit{M. Aumüller} et al., Comb. Probab. Comput. 28, No. 4, 485--518 (2019; Zbl 1432.68108) Full Text: DOI arXiv
Hackl, Benjamin; Prodinger, Helmut The necklace process: a generating function approach. (English) Zbl 1407.60016 Stat. Probab. Lett. 142, 57-61 (2018). MSC: 60C05 05A15 05A16 PDFBibTeX XMLCite \textit{B. Hackl} and \textit{H. Prodinger}, Stat. Probab. Lett. 142, 57--61 (2018; Zbl 1407.60016) Full Text: DOI arXiv
Hackl, Benjamin; Heuberger, Clemens; Prodinger, Helmut Reductions of binary trees and lattice paths induced by the register function. (English) Zbl 1380.68305 Theor. Comput. Sci. 705, 31-57 (2018). MSC: 68R05 05A10 05A15 05A16 PDFBibTeX XMLCite \textit{B. Hackl} et al., Theor. Comput. Sci. 705, 31--57 (2018; Zbl 1380.68305) Full Text: DOI arXiv
Oliver, Kamilla; Prodinger, Helmut Summations in Bernoulli’s triangles via generating functions. (English) Zbl 1352.05016 J. Integer Seq. 20, No. 1, Article 17.1.3, 9 p. (2017). MSC: 05A15 05A19 11B39 PDFBibTeX XMLCite \textit{K. Oliver} and \textit{H. Prodinger}, J. Integer Seq. 20, No. 1, Article 17.1.3, 9 p. (2017; Zbl 1352.05016) Full Text: EMIS
Hackl, Benjamin; Heuberger, Clemens; Prodinger, Helmut; Wagner, Stephan Analysis of bidirectional ballot sequences and random walks ending in their maximum. (English) Zbl 1358.05019 Ann. Comb. 20, No. 4, 775-797 (2016). Reviewer: Ljuben Mutafchiev (Sofia) MSC: 05A16 05A15 05A10 60C05 60G50 PDFBibTeX XMLCite \textit{B. Hackl} et al., Ann. Comb. 20, No. 4, 775--797 (2016; Zbl 1358.05019) Full Text: DOI arXiv
Prodinger, Helmut Returns, hills, and \(t\)-ary trees. (English) Zbl 1348.05023 J. Integer Seq. 19, No. 7, Article 16.7.2, 8 p. (2016). MSC: 05A15 05A16 60C05 PDFBibTeX XMLCite \textit{H. Prodinger}, J. Integer Seq. 19, No. 7, Article 16.7.2, 8 p. (2016; Zbl 1348.05023) Full Text: EMIS
Heuberger, Clemens; Prodinger, Helmut; Wagner, Stephan The height of multiple edge plane trees. (English) Zbl 1337.05055 Aequationes Math. 90, No. 3, 625-645 (2016). MSC: 05C30 05A16 05A15 05C05 05C10 60C05 PDFBibTeX XMLCite \textit{C. Heuberger} et al., Aequationes Math. 90, No. 3, 625--645 (2016; Zbl 1337.05055) Full Text: DOI arXiv
Brent, Richard P.; Ohtsuka, Hideyuki; Osborn, Judy-Anne H.; Prodinger, Helmut Some binomial sums involving absolute values. (English) Zbl 1336.05006 J. Integer Seq. 19, No. 3, Article 16.3.7, 14 p. (2016). MSC: 05A10 11B65 05A15 05A19 44A60 60G50 PDFBibTeX XMLCite \textit{R. P. Brent} et al., J. Integer Seq. 19, No. 3, Article 16.3.7, 14 p. (2016; Zbl 1336.05006) Full Text: arXiv EMIS
Louchard, Guy; Prodinger, Helmut The largest missing value in a composition of an integer and some Allouche-Shallit-type identities. (English) Zbl 1290.05013 J. Integer Seq. 16, No. 2, Article 13.2.2, 16 p. (2013). MSC: 05A16 60C05 11A63 PDFBibTeX XMLCite \textit{G. Louchard} and \textit{H. Prodinger}, J. Integer Seq. 16, No. 2, Article 13.2.2, 16 p. (2013; Zbl 1290.05013) Full Text: EMIS
Gu, Nancy S. S.; Prodinger, Helmut; Wagner, Stephan Bijections for a class of labeled plane trees. (English) Zbl 1218.05168 Eur. J. Comb. 31, No. 3, 720-732 (2010). MSC: 05C78 05C05 PDFBibTeX XMLCite \textit{N. S. S. Gu} et al., Eur. J. Comb. 31, No. 3, 720--732 (2010; Zbl 1218.05168) Full Text: DOI
Prodinger, Helmut On the expansion of Fibonacci and Lucas polynomials. (English) Zbl 1228.11022 J. Integer Seq. 12, No. 1, Article ID 09.1.6, 5 p. (2009). MSC: 11B39 11B37 PDFBibTeX XMLCite \textit{H. Prodinger}, J. Integer Seq. 12, No. 1, Article ID 09.1.6, 5 p. (2009; Zbl 1228.11022) Full Text: EuDML EMIS
Gu, Nancy S. S.; Prodinger, Helmut Bijections for 2-plane trees and ternary trees. (English) Zbl 1192.05031 Eur. J. Comb. 30, No. 4, 969-985 (2009). MSC: 05C05 05C15 05C78 PDFBibTeX XMLCite \textit{N. S. S. Gu} and \textit{H. Prodinger}, Eur. J. Comb. 30, No. 4, 969--985 (2009; Zbl 1192.05031) Full Text: DOI
Kuba, Markus; Prodinger, Helmut; Schneider, Carsten Generalized reciprocity laws for sums of harmonic numbers. (English) Zbl 1202.68492 Integers 8, No. 1, Article A17, 20 p. (2008). MSC: 68W30 33F10 68W40 11B50 PDFBibTeX XMLCite \textit{M. Kuba} et al., Integers 8, No. 1, Article A17, 20 p. (2008; Zbl 1202.68492) Full Text: EuDML EMIS
Prodinger, Helmut Generating functions related to partition formulæ for Fibonacci numbers. (English) Zbl 1231.11017 J. Integer Seq. 11, No. 1, Article ID 08.1.8, 24 p. (2008). MSC: 11B39 05A15 PDFBibTeX XMLCite \textit{H. Prodinger}, J. Integer Seq. 11, No. 1, Article ID 08.1.8, 24 p. (2008; Zbl 1231.11017) Full Text: EuDML EMIS
Heuberger, Clemens; Prodinger, Helmut On \(\alpha \)-greedy expansions of numbers. (English) Zbl 1211.11012 Adv. Appl. Math. 38, No. 4, 505-525 (2007). MSC: 11A63 26A27 42A16 PDFBibTeX XMLCite \textit{C. Heuberger} and \textit{H. Prodinger}, Adv. Appl. Math. 38, No. 4, 505--525 (2007; Zbl 1211.11012) Full Text: DOI
Deutsch, Emeric; Prodinger, Helmut A bijection between directed column-convex polyominoes and ordered trees of height at most three. (English) Zbl 1048.05024 Theor. Comput. Sci. 307, No. 2, 319-325 (2003). MSC: 05B50 05A15 PDFBibTeX XMLCite \textit{E. Deutsch} and \textit{H. Prodinger}, Theor. Comput. Sci. 307, No. 2, 319--325 (2003; Zbl 1048.05024) Full Text: DOI