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
Wien
Austria
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(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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