Journal of Integer Sequences, Vol. 16 (2013), Article 13.1.6

Involutions on Generating Functions

Masanari Kida
Department of Mathematics
University of Electro-Communications
Chofu, Tokyo 182-8585

Yuichiro Urata
NTT Network Technology Laboratories
NTT Corporation
3-9-11 Midori-cho, Musashino-shi
Tokyo 180-8585


We study a family of involutions on the space of sequences. Many arithmetically or combinatorially interesting sequences appear as eigensequences of the involutions. We develop new tools for studying sequences using these involutions.

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Received November 18 2012; revised version received January 16 2013. Published in Journal of Integer Sequences, January 17 2013.

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