Summary: A remark on Ap'ery's numbers
Jean­Paul Allouche
CNRS, LRI
B“atiment 490, F­91405 Orsay Cedex
France
allouche@lri.fr
Abstract
The Ap'ery numbers, introduced in Ap'ery's celebrated proof of the
irrationality of i(3), are defined by an =
P n
k=0
\Gamma n
k
\Delta 2 \Gamma n+k
k
\Delta 2
. They have
the nice following property: if p is a prime number, and n =
P
n j p j

Source: Allouche, Jean-Paul - Laboratoire de Recherche en Informatique, Université de Paris-Sud 11

Collections: Computer Technologies and Information Sciences