Journal of Integer Sequences, Vol. 18 (2015), Article 15.1.1

Binomial Transform and Dold Sequences

Klaudiusz Wójcik
Department of Mathematics and Computer Science
Jagiellonian University
Łojasiewicza 6
30-348 Kraków


We prove that the binomial transform T(a) of a Dold sequence a is a Dold sequence itself. We also show that if a and T(a) are bounded Dold sequences then they are both periodic with period 6.

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Received September 18 2014; revised versions received September 21 2014; December 13 2014. Published in Journal of Integer Sequences, December 14 2014.

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