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Sums of
k
k
k
-bonacci Numbers
Authors
Harold R. Parks
Dean C. Wills
Publication date
1 August 2022
Publisher
View
on
arXiv
Abstract
We give a combinatorial proof of a formula giving the partial sums of the
k
k
k
-bonacci sequence as alternating sums of powers of two multiplied by binomial coefficients. As a corollary we obtain a formula for the
k
k
k
-bonacci numbers.Comment: 6 page
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oai:arXiv.org:2208.01224
Last time updated on 06/10/2022