A227651 Perfect powers equal to the sum of 10 factorial numbers.

16, 25, 27, 32, 36, 49, 64, 81, 100, 125, 128, 144, 169, 196, 216, 225, 256, 289, 324, 343, 400, 441, 484, 512, 529, 625, 676, 729, 784, 841, 900, 1000, 1024, 1089, 1156, 1225, 1331, 1444, 1521, 1600, 1681, 1728, 1936, 2048, 2187, 2197, 2304, 2401, 2916, 3025

Offset

1,1

Comments

a(240), if it exists, is larger than 10^50.

Links

Giovanni Resta, Table of n, a(n) for n = 1..239 (terms < 10^50)

Giovanni Resta, Decompositions for a(1)-a(239)

Example

25411681 = 71^4 = 1! + 7! + 7! + 10! + 10! + 10! + 10! + 10! + 10! + 10!.

Crossrefs

Cf. A114377, A227644-A227650.

Sequence in context: A202335 A071524 A334392 * A348320 A095409 A339624

Adjacent sequences: A227648 A227649 A227650 * A227652 A227653 A227654

Keyword

nonn

Author

Giovanni Resta, Jul 19 2013

Status

approved