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A117988
Number of functions f:[n]->[n] such that f[(x^2) mod n]=[f(x)^2] mod n for all x in [n], for n=1,2,3,... Here [n] denotes {0,1,2,...,n-1}.
3
1, 4, 6, 16, 18, 576, 78, 1728, 1365, 5184, 486, 2985984, 3474, 389376, 13583700, 268435456, 65538, 119246400, 45006, 39261044736, 21400013700, 15116544, 67590, 45476068117708800, 8696104065, 772395264, 19496328075, 1822309056774144, 231340050
OFFSET
1,2
COMMENTS
See A117986 and A117987 for results on other modular functional equations.
LINKS
PROG
(PARI) \\ See Links section.
CROSSREFS
KEYWORD
nonn
AUTHOR
John W. Layman, Apr 14 2006
EXTENSIONS
More terms from Rémy Sigrist, Sep 20 2019
STATUS
approved