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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 (list; graph; refs; listen; history; text; internal format)
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)

Giovanni Resta, Decompositions for a(1)-a(50)

EXAMPLE

443556 = 666^2 = 3! + 3! + 4! + 8! + 8! + 9!.

CROSSREFS

Cf. A114377, A227644-A227651.

Sequence in context: A265731 A227646 A145820 * A175053 A274406 A261454

Adjacent sequences:  A227644 A227645 A227646 * A227648 A227649 A227650

KEYWORD

nonn

AUTHOR

Giovanni Resta, Jul 19 2013

STATUS

approved

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Last modified July 23 01:27 EDT 2019. Contains 325228 sequences. (Running on oeis4.)