A remark on Apéry's numbers
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Jean-Paul Allouche
📂
Article
📅
1997
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Elsevier Science
🌐
English
⚖ 134 KB
The Aprry numbers, introduced in Aprry's celebrated proof of the irrationality of ~(3), are defined by n (n~ 2 (n+k)2 a, = ~k=0 ~k/ ~ k j • They have the following nice property: if p is a prime number, and n = ~ niP j is the base p expansion of n, then a, = I-la,j rood p. In a paper which appeared