A227648 Perfect powers equal to the sum of 7 factorial numbers.

8, 9, 16, 25, 27, 32, 36, 64, 81, 100, 128, 144, 169, 196, 256, 324, 484, 512, 529, 625, 729, 784, 841, 1089, 1225, 2187, 2197, 2916, 3025, 3721, 5184, 5776, 6241, 6724, 10816, 15129, 15876, 20164, 25921, 40401, 40804, 42025, 45369, 47524, 51984, 57600, 80656

Offset

1,1

Comments

a(80), if it exists, is larger than 10^100.

Links

Giovanni Resta, Table of n, a(n) for n = 1..79 (terms < 10^100)

Giovanni Resta, Decompositions for a(1)-a(79)

Example

83521 = 17^4 = 1! + 6! + 6! + 6! + 6! + 8! + 8!.

Crossrefs

Cf. A114377, A227644-A227651.

Sequence in context: A169817 A351098 A227649 * A192636 A265731 A227646

Adjacent sequences: A227645 A227646 A227647 * A227649 A227650 A227651

Keyword

nonn

Author

Giovanni Resta, Jul 19 2013

Status

approved