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A155510
Possible cardinalities of the set of all k-th powers of the order n permutations, where k and n are some positive integers.
1
1, 2, 3, 4, 6, 9, 12, 16, 21, 24, 25, 36, 40, 45, 46, 56, 60, 80, 81, 96, 106, 120, 126, 145, 190, 225, 256, 270, 351, 400, 505, 576, 610, 666, 720, 721, 826, 855, 946, 1071, 1072, 1170, 1225, 1233, 1330, 1338, 1345, 1386, 1450, 1575, 1576, 1792, 1890, 2080, 2241
OFFSET
1,2
LINKS
EXAMPLE
80 is in the sequence because the set {a^3|a in S_5} has 80 elements.
CROSSREFS
KEYWORD
nonn
AUTHOR
Vladimir Letsko, Jan 23 2009
EXTENSIONS
Corrected and extended by Max Alekseyev, Feb 08 2009
Some missing terms added by Max Alekseyev, Jan 24 2010
STATUS
approved