A227647 Perfect powers equal to the sum of 6 factorial numbers.

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)

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: A227646 A331701 A145820 * A175053 A350075 A353057

Adjacent sequences: A227644 A227645 A227646 * A227648 A227649 A227650

Keyword

nonn

Author

Giovanni Resta, Jul 19 2013

Status

approved