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Generalised Apéry numbers modulo 9

✍ Scribed by Krattenthaler, C.; Müller, T.W.

Book ID
126758949
Publisher
Elsevier Science
Year
2015
Tongue
English
Weight
286 KB
Volume
147
Category
Article
ISSN
0022-314X

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📜 SIMILAR VOLUMES

A remark on Apéry's numbers
A remark on Apéry's numbers
✍ Jean-Paul Allouche 📂 Article 📅 1997 🏛 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