A digit reversal property for an analogue of Stern's sequence

2017/09/17 by Lukas Spiegelhofer, Spiegelhofer, Lukas
Mathematics · #FOS: Mathematics #Number Theory (math.NT) #Primary: 11A63 #Secondary: 11B75 #math.NT #msc:11A63 #msc:11B75

paper · pdf · doi:10.48550/arxiv.1709.05651

8 pages

arxiv created 2017/09/17 · arxiv updated 2017/09/19

Abstract

We consider a variant of Stern's diatomic sequence, studied recently by Northshield. We prove that this sequence b is invariant under digit reversal in base 3, that is, b_n=b_n^R, where n^R is obtained by reversing the base-3 expansion of n.

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