Journal of Integer Sequences, Vol. 20 (2017), Article 17.10.8

A Digit Reversal Property for an Analogue of Stern's Sequence

Lukas Spiegelhofer
Institute of Discrete Mathematics and Geometry
Vienna University of Technology
Wiedner Hauptstraße 8–10


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(nR), where nR is obtained by reversing the base-3 expansion of n.

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(Concerned with sequences A002487 A277749 A277750.)

Received September 17 2017; revised version received November 30 2017. Published in Journal of Integer Sequences, December 20 2017.

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