Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/16178
Title: Recurrence relations for the squares of the Horadam numbers and some associated consequences
Authors: Adegoke, Kunle
Frontczak, Robert
Гой, Тарас Петрович
Hoi, Taras
Keywords: Horadam sequence
Fibonacci sequence
Chebyshev polynomial
reciprocal series
recurrence relation
partial sum
Issue Date: 2022
Citation: Adegoke K., Frontczak R., Goy T. Recurrence relations for the squares of the Horadam numbers and some associated consequences. Tatra Mountains Mathematical Publications. 2022. Vol. 82. P. 17-28.
Abstract: We derive recurrence relations for the squares of the Horadam numbers w2n, where the Horadam sequence wn is such that the numbers wn, for n ∈ Z, are defined recursively by w0 = a, w1 = b, wn = pwn−1 − qwn−2 (n ≥ 2), where a, b, p and q are arbitrary complex numbers with p ≥ 0 and q ≥ 0. Some related results emanating from the recurrence relations such as reciprocal sums, partial sums, and sums with double binomial coefficients are also presented.
URI: http://hdl.handle.net/123456789/16178
Appears in Collections:Статті та тези (ФМІ)

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