Németh, László Tilings of \((2 \times 2 \times n)\)-board with coloured cubes and bricks. (English) Zbl 1475.97043 Int. J. Math. Educ. Sci. Technol. 51, No. 5, 786-798 (2020). MSC: 97K20 05B45 05A19 11B39 52C22 PDFBibTeX XMLCite \textit{L. Németh}, Int. J. Math. Educ. Sci. Technol. 51, No. 5, 786--798 (2020; Zbl 1475.97043) Full Text: DOI arXiv
Zahn, Maurício A deduction of the golden spiral equation via powers of the golden ratio {\(\phi\)}. (English) Zbl 1397.97013 Int. J. Math. Educ. Sci. Technol. 48, No. 6, 963-971 (2017). MSC: 97G40 51M04 11B39 PDFBibTeX XMLCite \textit{M. Zahn}, Int. J. Math. Educ. Sci. Technol. 48, No. 6, 963--971 (2017; Zbl 1397.97013) Full Text: DOI
Abd-Elhameed, W. M.; Zeyada, N. A. A generalization of generalized Fibonacci and generalized Pell numbers. (English) Zbl 1396.97004 Int. J. Math. Educ. Sci. Technol. 48, No. 1, 102-107 (2017). MSC: 97F60 11B39 PDFBibTeX XMLCite \textit{W. M. Abd-Elhameed} and \textit{N. A. Zeyada}, Int. J. Math. Educ. Sci. Technol. 48, No. 1, 102--107 (2017; Zbl 1396.97004) Full Text: DOI
Kuhapatanakul, Kantaphon The Lucas \(p\)-triangle. (English) Zbl 1343.97003 Int. J. Math. Educ. Sci. Technol. 47, No. 5, 797-803 (2016). MSC: 97F60 11B37 11B39 PDFBibTeX XMLCite \textit{K. Kuhapatanakul}, Int. J. Math. Educ. Sci. Technol. 47, No. 5, 797--803 (2016; Zbl 1343.97003) Full Text: DOI
Griffiths, Martin; Griffiths, Jonny A pair of Fibonacci-like polynomials arising from a special mapping. (English) Zbl 1337.97004 Int. J. Math. Educ. Sci. Technol. 47, No. 2, 291-298 (2016). MSC: 97F60 97H30 11B39 33E30 PDFBibTeX XMLCite \textit{M. Griffiths} and \textit{J. Griffiths}, Int. J. Math. Educ. Sci. Technol. 47, No. 2, 291--298 (2016; Zbl 1337.97004) Full Text: DOI
Griffiths, Martin; Rajagopal, Surajit A Fibonacci quotient. (English) Zbl 1337.97005 Int. J. Math. Educ. Sci. Technol. 47, No. 1, 139-144 (2016). MSC: 97F60 11B39 PDFBibTeX XMLCite \textit{M. Griffiths} and \textit{S. Rajagopal}, Int. J. Math. Educ. Sci. Technol. 47, No. 1, 139--144 (2016; Zbl 1337.97005) Full Text: DOI
Cereceda, José Luis Binet’s formula for generalized tribonacci numbers. (English) Zbl 1337.97003 Int. J. Math. Educ. Sci. Technol. 46, No. 8, 1235-1243 (2015). MSC: 97F60 11B39 PDFBibTeX XMLCite \textit{J. L. Cereceda}, Int. J. Math. Educ. Sci. Technol. 46, No. 8, 1235--1243 (2015; Zbl 1337.97003) Full Text: DOI
Kuhapatanakul, Kantaphon The Lucas \(p\)-matrix. (English) Zbl 1337.97006 Int. J. Math. Educ. Sci. Technol. 46, No. 8, 1228-1234 (2015). MSC: 97F60 11B39 PDFBibTeX XMLCite \textit{K. Kuhapatanakul}, Int. J. Math. Educ. Sci. Technol. 46, No. 8, 1228--1234 (2015; Zbl 1337.97006) Full Text: DOI
Leyendekkers, J. V.; Shannon, A. G. The odd-number sequence: squares and sums. (English) Zbl 1337.97007 Int. J. Math. Educ. Sci. Technol. 46, No. 8, 1222-1228 (2015). MSC: 97F60 11B39 11B50 PDFBibTeX XMLCite \textit{J. V. Leyendekkers} and \textit{A. G. Shannon}, Int. J. Math. Educ. Sci. Technol. 46, No. 8, 1222--1228 (2015; Zbl 1337.97007) Full Text: DOI
Anatriello, Giuseppina; Vincenzi, Giovanni Tribonacci-like sequences and generalized Pascal’s pyramids. (English) Zbl 1316.97001 Int. J. Math. Educ. Sci. Technol. 45, No. 8, 1220-1232 (2014). MSC: 97F60 11B39 97K20 65Q30 PDFBibTeX XMLCite \textit{G. Anatriello} and \textit{G. Vincenzi}, Int. J. Math. Educ. Sci. Technol. 45, No. 8, 1220--1232 (2014; Zbl 1316.97001) Full Text: DOI
Kuhapatanakul, Kantaphon; Sukruan, Lalitphat \(n\)-tribonacci triangles and applications. (English) Zbl 1316.97002 Int. J. Math. Educ. Sci. Technol. 45, No. 7, 1068-1075 (2014). MSC: 97F60 11B39 97K20 PDFBibTeX XMLCite \textit{K. Kuhapatanakul} and \textit{L. Sukruan}, Int. J. Math. Educ. Sci. Technol. 45, No. 7, 1068--1075 (2014; Zbl 1316.97002) Full Text: DOI
Ahrens, K.; Brown, D. A.; Kramer, A. Convergence of \(m\)-bonacci ‘golden ratios’. (English) Zbl 1296.97003 Int. J. Math. Educ. Sci. Technol. 45, No. 4, 618-624 (2014). MSC: 97F60 97I30 11B39 PDFBibTeX XMLCite \textit{K. Ahrens} et al., Int. J. Math. Educ. Sci. Technol. 45, No. 4, 618--624 (2014; Zbl 1296.97003) Full Text: DOI
Vincenzi, G.; Siani, S. Fibonacci-like sequences and generalized Pascal’s triangles. (English) Zbl 1296.97006 Int. J. Math. Educ. Sci. Technol. 45, No. 4, 609-614 (2014). MSC: 97F60 97K20 11B39 97I30 PDFBibTeX XMLCite \textit{G. Vincenzi} and \textit{S. Siani}, Int. J. Math. Educ. Sci. Technol. 45, No. 4, 609--614 (2014; Zbl 1296.97006) Full Text: DOI
Koshy, Thomas Sums of Fibonacci-Pell-Jacobsthal products. (English) Zbl 1293.97019 Int. J. Math. Educ. Sci. Technol. 44, No. 4, 559-568 (2013). MSC: 97F60 11B39 PDFBibTeX XMLCite \textit{T. Koshy}, Int. J. Math. Educ. Sci. Technol. 44, No. 4, 559--568 (2013; Zbl 1293.97019) Full Text: DOI
Koshy, Thomas; Gao, Zhenguang Fibonacci-Pell hybridities. (English) Zbl 1257.97003 Int. J. Math. Educ. Sci. Technol. 43, No. 6, 779-783 (2012). MSC: 97F60 11B39 PDFBibTeX XMLCite \textit{T. Koshy} and \textit{Z. Gao}, Int. J. Math. Educ. Sci. Technol. 43, No. 6, 779--783 (2012; Zbl 1257.97003) Full Text: DOI
Asiru, Muniru A. Sequence factorial and its applications. (English) Zbl 1241.97007 Int. J. Math. Educ. Sci. Technol. 43, No. 4, 504-510 (2012). MSC: 97K20 97H20 11B39 11B65 PDFBibTeX XMLCite \textit{M. A. Asiru}, Int. J. Math. Educ. Sci. Technol. 43, No. 4, 504--510 (2012; Zbl 1241.97007) Full Text: DOI
Asiru, Muniru A. Row-sum of a class of M-bonomial coefficients. (English) Zbl 1273.97013 Int. J. Math. Educ. Sci. Technol. 42, No. 4, 553-557 (2011). MSC: 97F60 11B65 11B39 PDFBibTeX XMLCite \textit{M. A. Asiru}, Int. J. Math. Educ. Sci. Technol. 42, No. 4, 553--557 (2011; Zbl 1273.97013) Full Text: DOI
Debnath, Lokenath A short history of the Fibonacci and golden numbers with their applications. (English) Zbl 1273.97003 Int. J. Math. Educ. Sci. Technol. 42, No. 3, 337-367 (2011). MSC: 97A30 97F60 01A05 11B39 PDFBibTeX XMLCite \textit{L. Debnath}, Int. J. Math. Educ. Sci. Technol. 42, No. 3, 337--367 (2011; Zbl 1273.97003) Full Text: DOI
Atanassov, K. T.; Shannon, A. G. A short remark on Fibonacci-type sequences, Möbius strips and the \(\psi \)-function. (English) Zbl 1292.97014 Int. J. Math. Educ. Sci. Technol. 41, No. 8, 1125-1127 (2010). MSC: 97F60 97I30 11B39 40A99 PDFBibTeX XMLCite \textit{K. T. Atanassov} and \textit{A. G. Shannon}, Int. J. Math. Educ. Sci. Technol. 41, No. 8, 1125--1127 (2010; Zbl 1292.97014) Full Text: DOI
Aṣiru, Muniru A. M-bonomial coefficients and their identities. (English) Zbl 1292.97013 Int. J. Math. Educ. Sci. Technol. 41, No. 7, 970-975 (2010). MSC: 97F60 11B39 97K20 PDFBibTeX XMLCite \textit{M. A. Aṣiru}, Int. J. Math. Educ. Sci. Technol. 41, No. 7, 970--975 (2010; Zbl 1292.97013) Full Text: DOI
Keskin, Refik; Demirtürk, Bahar Some new Fibonacci and Lucas identities by matrix methods. (English) Zbl 1292.97020 Int. J. Math. Educ. Sci. Technol. 41, No. 3, 379-387 (2010). MSC: 97F60 97H60 11B39 15A24 PDFBibTeX XMLCite \textit{R. Keskin} and \textit{B. Demirtürk}, Int. J. Math. Educ. Sci. Technol. 41, No. 3, 379--387 (2010; Zbl 1292.97020) Full Text: DOI
Shah, Devbhadra V.; Mehta, Darshana A. Golden proportions for the generalized Tribonacci numbers. (English) Zbl 1297.97009 Int. J. Math. Educ. Sci. Technol. 40, No. 6, 837-842 (2009). MSC: 97F60 11B39 PDFBibTeX XMLCite \textit{D. V. Shah} and \textit{D. A. Mehta}, Int. J. Math. Educ. Sci. Technol. 40, No. 6, 837--842 (2009; Zbl 1297.97009) Full Text: DOI
Asiru, Muniru Infinite sums of M-bonacci numbers. (English) Zbl 1297.97007 Int. J. Math. Educ. Sci. Technol. 40, No. 2, 300-306 (2009). MSC: 97F60 11B39 PDFBibTeX XMLCite \textit{M. Asiru}, Int. J. Math. Educ. Sci. Technol. 40, No. 2, 300--306 (2009; Zbl 1297.97007) Full Text: DOI
Asiru, Muniru A. Sequences with M-bonacci property and their finite sums. (English) Zbl 1474.97003 Int. J. Math. Educ. Sci. Technol. 39, No. 6, 819-829 (2008). MSC: 97F60 11B39 PDFBibTeX XMLCite \textit{M. A. Asiru}, Int. J. Math. Educ. Sci. Technol. 39, No. 6, 819--829 (2008; Zbl 1474.97003) Full Text: DOI
Plaza, A.; Falcón, S. Combinatorial proofs of Honsberger-type identities. (English) Zbl 1474.97013 Int. J. Math. Educ. Sci. Technol. 39, No. 6, 785-792 (2008). MSC: 97F60 97K20 11B39 05A19 PDFBibTeX XMLCite \textit{A. Plaza} and \textit{S. Falcón}, Int. J. Math. Educ. Sci. Technol. 39, No. 6, 785--792 (2008; Zbl 1474.97013) Full Text: DOI
Abramovich, Sergei; Leonov, Gennady A. Fibonacci numbers revisited: technology-motivated inquiry into a two-parametric difference equation. (English) Zbl 1474.97002 Int. J. Math. Educ. Sci. Technol. 39, No. 6, 749-766 (2008). MSC: 97F60 11B39 PDFBibTeX XMLCite \textit{S. Abramovich} and \textit{G. A. Leonov}, Int. J. Math. Educ. Sci. Technol. 39, No. 6, 749--766 (2008; Zbl 1474.97002) Full Text: DOI
Plaza, A.; Falcón, S. Identities for generalized Fibonacci numbers: a combinatorial approach. (English) Zbl 1474.97012 Int. J. Math. Educ. Sci. Technol. 39, No. 4, 563-566 (2008). MSC: 97F60 11B39 PDFBibTeX XMLCite \textit{A. Plaza} and \textit{S. Falcón}, Int. J. Math. Educ. Sci. Technol. 39, No. 4, 563--566 (2008; Zbl 1474.97012) Full Text: DOI
Chen, Alex; Chen, Hongwei Identities for the Fibonacci powers. (English) Zbl 1474.97006 Int. J. Math. Educ. Sci. Technol. 39, No. 4, 534-541 (2008). MSC: 97F60 11B39 PDFBibTeX XMLCite \textit{A. Chen} and \textit{H. Chen}, Int. J. Math. Educ. Sci. Technol. 39, No. 4, 534--541 (2008; Zbl 1474.97006) Full Text: DOI
Shannon, A. G.; Anderson, P. G.; Horadam, A. F. Properties of Cordonnier, Perrin and Van der Laan numbers. (English) Zbl 1149.11300 Int. J. Math. Educ. Sci. Technol. 37, No. 7, 825-831 (2006). MSC: 11B37 11B39 PDFBibTeX XMLCite \textit{A. G. Shannon} et al., Int. J. Math. Educ. Sci. Technol. 37, No. 7, 825--831 (2006; Zbl 1149.11300) Full Text: DOI
Ollerton, R. L. Fibonacci cubes. (English) Zbl 1146.11303 Int. J. Math. Educ. Sci. Technol. 37, No. 6, 754-756 (2006). MSC: 11B39 PDFBibTeX XMLCite \textit{R. L. Ollerton}, Int. J. Math. Educ. Sci. Technol. 37, No. 6, 754--756 (2006; Zbl 1146.11303) Full Text: DOI
Shannon, A. G.; Atanassov, K. T. Introduction to the difference calculus through the Fibonacci numbers. (English) Zbl 1008.39001 Int. J. Math. Educ. Sci. Technol. 33, No. 3, 456-465 (2002). MSC: 39A05 00A35 11B39 PDFBibTeX XMLCite \textit{A. G. Shannon} and \textit{K. T. Atanassov}, Int. J. Math. Educ. Sci. Technol. 33, No. 3, 456--465 (2002; Zbl 1008.39001) Full Text: DOI
Deshpande, M. N. One interesting family of Diophantine triplets. (English) Zbl 1098.11501 Int. J. Math. Educ. Sci. Technol. 33, No. 2, 253-256 (2002). MSC: 11D09 11B39 PDFBibTeX XMLCite \textit{M. N. Deshpande}, Int. J. Math. Educ. Sci. Technol. 33, No. 2, 253--256 (2002; Zbl 1098.11501) Full Text: DOI
Huen, Y. K. Explicit formulations versus recursive formulations – studies based on the Fibonacci sequence and the factorial function. (English) Zbl 1045.11503 Int. J. Math. Educ. Sci. Technol. 31, No. 5, 788-795 (2000). MSC: 11B39 11B65 PDFBibTeX XMLCite \textit{Y. K. Huen}, Int. J. Math. Educ. Sci. Technol. 31, No. 5, 788--795 (2000; Zbl 1045.11503) Full Text: DOI
de Villiers, Michael A Fibonacci generalization and its dual. (English) Zbl 1045.11504 Int. J. Math. Educ. Sci. Technol. 31, No. 3, 464-473 (2000). MSC: 11B39 PDFBibTeX XMLCite \textit{M. de Villiers}, Int. J. Math. Educ. Sci. Technol. 31, No. 3, 464--473 (2000; Zbl 1045.11504) Full Text: DOI
Shannon, A. G.; Horadam, A. F.; Loh, R. P. Another functional equation related to the trigonometric functions. (English) Zbl 1018.39014 Int. J. Math. Educ. Sci. Technol. 30, No. 3, 468-472 (1999). MSC: 39B22 33B10 11B39 PDFBibTeX XMLCite \textit{A. G. Shannon} et al., Int. J. Math. Educ. Sci. Technol. 30, No. 3, 468--472 (1999; Zbl 1018.39014)
Bong, Nguyen-Huu Lucas numbers and the ménage problem. (English) Zbl 1017.05016 Int. J. Math. Educ. Sci. Technol. 29, No. 5, 647-661 (1998). MSC: 05A15 05A10 11B39 PDFBibTeX XMLCite \textit{N.-H. Bong}, Int. J. Math. Educ. Sci. Technol. 29, No. 5, 647--661 (1998; Zbl 1017.05016) Full Text: DOI
Glaister, P. Fibonacci numbers - finite and infinite series. (English) Zbl 0884.11015 Int. J. Math. Educ. Sci. Technol. 27, No. 3, 429-441 (1996). Reviewer: Luo Ming (Chongqing) MSC: 11B39 40A25 PDFBibTeX XMLCite \textit{P. Glaister}, Int. J. Math. Educ. Sci. Technol. 27, No. 3, 429--441 (1996; Zbl 0884.11015) Full Text: DOI
Suryanarayan, E. R. Properties of the Brahmagupta matrix. (English) Zbl 0884.11016 Int. J. Math. Educ. Sci. Technol. 27, No. 3, 347-353 (1996). Reviewer: Luo Ming (Chongqing) MSC: 11B39 11D25 PDFBibTeX XMLCite \textit{E. R. Suryanarayan}, Int. J. Math. Educ. Sci. Technol. 27, No. 3, 347--353 (1996; Zbl 0884.11016) Full Text: DOI
Leyendekkers, J. V.; Rybak, J. Pellian sequences derived from Pythagorean triples. (English) Zbl 0881.11034 Int. J. Math. Educ. Sci. Technol. 26, No. 6, 903-904 (1995). Reviewer: J.Piehler (Merseburg) MSC: 11D09 11B39 PDFBibTeX XMLCite \textit{J. V. Leyendekkers} and \textit{J. Rybak}, Int. J. Math. Educ. Sci. Technol. 26, No. 6, 903--904 (1995; Zbl 0881.11034) Full Text: DOI
Shannon, A. G.; Melham, R. S. Extended and generalized Fibonacci polynomials. (English) Zbl 1044.11541 Int. J. Math. Educ. Sci. Technol. 26, No. 2, 296-300 (1995). MSC: 11B39 PDFBibTeX XMLCite \textit{A. G. Shannon} and \textit{R. S. Melham}, Int. J. Math. Educ. Sci. Technol. 26, No. 2, 296--300 (1995; Zbl 1044.11541) Full Text: DOI
Hirst, K. E. Continued fractions for \(\sqrt d\) with constant partial quotients. (English) Zbl 0880.11011 Int. J. Math. Educ. Sci. Technol. 26, No. 2, 205-211 (1995). MSC: 11A55 11B39 PDFBibTeX XMLCite \textit{K. E. Hirst}, Int. J. Math. Educ. Sci. Technol. 26, No. 2, 205--211 (1995; Zbl 0880.11011) Full Text: DOI
Filipponi, Piero Recurrences for decimated recurring sequences. (English) Zbl 0813.11007 Int. J. Math. Educ. Sci. Technol. 25, No. 1, 148-150 (1994). Reviewer: J.Piehler (Merseburg) MSC: 11B37 11B39 PDFBibTeX XMLCite \textit{P. Filipponi}, Int. J. Math. Educ. Sci. Technol. 25, No. 1, 148--150 (1994; Zbl 0813.11007)
Meijer, A. R. How fast is the Euclidean algorithm? (English) Zbl 0764.11002 Int. J. Math. Educ. Sci. Technol. 23, No. 2, 324-328 (1992). Reviewer: R.P.Burn (Exeter) MSC: 11A05 11B39 PDFBibTeX XMLCite \textit{A. R. Meijer}, Int. J. Math. Educ. Sci. Technol. 23, No. 2, 324--328 (1992; Zbl 0764.11002)
Filipponi, Piero The quotient operator \(Q\) and the Fibonacci sequence. (English) Zbl 0771.11010 Int. J. Math. Educ. Sci. Technol. 23, No. 3, 505-507 (1992). Reviewer: J.Piehler (Merseburg) MSC: 11B39 PDFBibTeX XMLCite \textit{P. Filipponi}, Int. J. Math. Educ. Sci. Technol. 23, No. 3, 505--507 (1992; Zbl 0771.11010)
Brugia, Odoardo; Di Porto, Adina; Filipponi, Piero On certain Fibonacci-type sums. (English) Zbl 0748.11009 Int. J. Math. Educ. Sci. Technol. 22, No. 4, 609-613 (1991). MSC: 11B39 PDFBibTeX XMLCite \textit{O. Brugia} et al., Int. J. Math. Educ. Sci. Technol. 22, No. 4, 609--613 (1991; Zbl 0748.11009) Full Text: DOI
Kramar, Edvard Some formulas for generating Pythagorean n-tuples. (English) Zbl 0486.10014 Int. J. Math. Educ. Sci. Technol. 13, 261-264 (1982). MSC: 11D09 11B39 PDFBibTeX XMLCite \textit{E. Kramar}, Int. J. Math. Educ. Sci. Technol. 13, 261--264 (1982; Zbl 0486.10014) Full Text: DOI
Landauer, Edwin G.; Glasgow, William M. Expressing powers of integers as the difference of squares. (English) Zbl 0477.10020 Int. J. Math. Educ. Sci. Technol. 12, 683-685 (1981). MSC: 11A99 11B39 11-01 PDFBibTeX XMLCite \textit{E. G. Landauer} and \textit{W. M. Glasgow}, Int. J. Math. Educ. Sci. Technol. 12, 683--685 (1981; Zbl 0477.10020) Full Text: DOI