Journal of Integer Sequences, Vol. 21 (2018), Article 18.2.1

On the Primality of the Generalized Fuss-Catalan Numbers


Wun-Seng Chou
Institute of Mathematics, Academia Sinica
Taipei 11529
Taiwan

Tian-Xiao He
Department of Mathematics
Illinois Wesleyan University
Bloomington, IL 61702
USA

Peter J.-S. Shiue
Department of Mathematical Sciences
University of Nevada, Las Vegas
Las Vegas, NV 89154-4020
USA

Abstract:

In this note, we determine all primes among the Fuss-Catalan numbers the generalized Fuss-Catalan numbers, the Lobb numbers, and the ballot numbers.

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(Concerned with sequences A000108 A002026 A002293 A002294 A002295 A002296 A039599.)

Received October 13 2017; revised version received February 19 2018. Published in Journal of Integer Sequences, February 23 2018.

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