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

Author

Giovanni Resta, Jul 19 2013

Keywords

• nonn

Comments

a(51), if it exists, is larger than 10^100.

Examples

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

Links

• Giovanni Resta, Table of n, a(n) for n = 1..50 (terms < 10^100)
• Giovanni Resta, Decompositions for a(1)-a(50)

Crossrefs

Cf. A114377, A227644-A227651.