Journal of Integer Sequences, Vol. 17 (2014), Article 14.3.2

Fermat Numbers in Multinomial Coefficients


Shane Chern
Department of Mathematics
Zhejiang University
Hangzhou, 310027
China

Abstract:

In 2001 Luca proved that no Fermat number can be a nontrivial binomial coefficient. We extend this result to multinomial coefficients.

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(Concerned with sequence A000215.)

Received January 19 2014; revised version received February 11 2014. Published in Journal of Integer Sequences, February 15 2014.

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