Polynesian Journal of Mathematics

Volume 1, Issue 3

Rows of the Pascal triangle which are palindromic in base b

Florian Luca

Abstract:

Let $b\ge 2$ be an integer and $n$ be such that the base $b$ representation of the $n$^th row of the Pascal triangle is palindromic. We show that $n<b$ except if $b\in \{2,4,6\}$, in which case $n=b+1$ also works.

Keywords: Binomial coefficients, Lucas’ theorem.

Citation:

Florian Luca. Rows of the Pascal triangle which are palindromic in base b. Polynesian Journal of Mathematics, Volume 1, Issue 3, Pages 1–15. (Dec. 2024) DOI: 10.69763/polyjmath.1.3

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Milestones:

Received 7 Oct 2024
Accepted 28 Nov 2024
Published 2 Dec 2024
Communicated by Roger Oyono

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