On recurrences for sums of powers of binomial coefficients
type: Item
instance of: scholarly article
title: On recurrences for sums of powers of binomial coefficients
zbMATH Open document ID: 1221.11050
author: Yuan Jin
author: Zhi-Juan Lu
author: Asmus L. Schmidt
published in: Journal of Number Theory
publication date: 2011-04-20T00:00:00Z
review text: The authors prove that for \(r\geq 3\) and any \(m\geq 0\), there are no nontrivial integral polynomials \[ p_0(n)=c_0+c_1n+\ldots+c_m n^m, p_1(n)=d_0+d_1n+\ldots+d_m n^m \] such that \[ p_0(n)a_{n+1}^{(r)}+p_1(n) a_n^{(r)}=0,n\geq 0, \] where \[ a_n^{(r)}=\sum_{k=0}^n \binom{n}{k}^r. \]
reviewed by: Florin Nicolae
Mathematics Subject Classification ID: 11B65
zbMATH DE Number: 5880811
zbMATH Keywords: binomial coefficients
zbMATH Keywords: recurrence
MaRDI profile type: Publication
full work available at URL: j.jnt.2008.03.011
OpenAlex ID: W2092396378
cites work: Factors of sums of powers of binomial coefficients
cites work: Recurrences for sums of powers of binomial coefficients
cites work: Some recurrences for sums of powers of binomial coefficients
cites work: Differentiably finite power series
cites work: Q4500465
DOI: 10.1016/J.JNT.2008.03.011
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description: scientific article; zbMATH DE number 5880811