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

Author

Giovanni Resta, Jul 19 2013

Keywords

• nonn

Comments

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

Examples

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

Links

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

Crossrefs

Cf. A114377, A227644-A227650.