A227650 Perfect powers equal to the sum of 9 factorial numbers.

9, 16, 25, 27, 32, 36, 49, 64, 81, 100, 121, 125, 128, 144, 169, 196, 216, 225, 243, 256, 289, 324, 400, 441, 512, 729, 784, 900, 961, 1000, 1024, 1089, 1156, 1296, 1369, 1444, 1521, 1600, 1681, 1728, 1764, 2048, 2187, 2197, 2209, 2304, 2916, 3125, 3844, 4356

Offset

1,1

Comments

a(178), if it exists, is larger than 10^100.

Links

Giovanni Resta, Table of n, a(n) for n = 1..177 (terms < 10^100)

Giovanni Resta, Decompositions for a(1)-a(177)

Example

1815848 = 122^3 = 2! + 3! + 6! + 6! + 9! + 9! + 9! + 9! + 9!.

Crossrefs

Cf. A114377, A227644-A227651.

Sequence in context: A225231 A151973 A102219 * A339859 A076093 A085585

Adjacent sequences: A227647 A227648 A227649 * A227651 A227652 A227653

Keyword

nonn

Author

Giovanni Resta, Jul 19 2013

Status

approved