A formula for the generating functions of powers of Horadam's sequence with two additional parameters.
Kılıç, Emrah, Ulutaş, Yücel Türker, Ömür, Neşe (2011)
Journal of Integer Sequences [electronic only]
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Kılıç, Emrah, Ulutaş, Yücel Türker, Ömür, Neşe (2011)
Journal of Integer Sequences [electronic only]
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Liu, Lily L. (2010)
The Electronic Journal of Combinatorics [electronic only]
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Roman Wituła, Damian Słota (2006)
Open Mathematics
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In this paper some decompositions of Cauchy polynomials, Ferrers-Jackson polynomials and polynomials of the form x 2n + y 2n , n ∈ ℕ, are studied. These decompositions are used to generate the identities for powers of Fibonacci and Lucas numbers as well as for powers of the so called conjugate recurrence sequences. Also, some new identities for Chebyshev polynomials of the first kind are presented here.
Gould, H.W., Quaintance, Jocelyn (2008)
Journal of Integer Sequences [electronic only]
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Fishkind, Donniell E. (2004)
Advances in Difference Equations [electronic only]
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Ferenc Mátyás (2001)
Acta Mathematica et Informatica Universitatis Ostraviensis
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Kiliç, Emrah, Tan, Elif (2010)
Integers
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Belbachir, Hacène, Rahmani, Mourad, Sury, B. (2011)
Journal of Integer Sequences [electronic only]
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Belbachir, Hacéne, Bencherif, Farid, Szalay, László (2007)
Journal of Integer Sequences [electronic only]
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Sprugnoli, Renzo (2006)
Integers
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