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A227647
Perfect powers equal to the sum of 6 factorial numbers.
2
8, 9, 16, 27, 32, 36, 49, 64, 81, 100, 121, 125, 128, 144, 196, 256, 484, 729, 900, 1444, 1728, 2187, 2209, 2401, 5184, 5329, 5776, 5929, 7225, 7921, 11664, 15129, 20164, 41209, 45369, 46225, 80656, 121801, 126025, 201601, 363609, 443556, 776161, 806404
OFFSET
1,1
COMMENTS
a(51), if it exists, is larger than 10^100.
LINKS
Giovanni Resta, Table of n, a(n) for n = 1..50 (terms < 10^100)
EXAMPLE
443556 = 666^2 = 3! + 3! + 4! + 8! + 8! + 9!.
CROSSREFS
KEYWORD
nonn
AUTHOR
Giovanni Resta, Jul 19 2013
STATUS
approved