A note on sum of k-th power of Horadam's sequence

dc.creatorMansour, Toufik
dc.date2003-02-02
dc.date.accessioned2026-07-07T04:54:51Z
dc.date.available2026-07-07T04:54:51Z
dc.descriptionLet $w_{n+2}=pw_{n+1}+qw_{n}$ for $n\geq0$ with $w_0=a$ and $w_1=b$. In this paper we find an explicit expression, in terms of determinants, for $\sum_{n\geq0} w_n^kx^n$ for any $k\geq1$. As a consequence, we derive all the previously known results for this kind of problems, as well as many new results.
dc.description5 pages
dc.identifierhttps://arxiv.org/abs/math/0302015
dc.identifierhttp://arxiv.org/abs/math/0302015
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66424
dc.subjectCombinatorics
dc.titleA note on sum of k-th power of Horadam's sequence
dc.typetext

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