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


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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