A227646 Perfect powers equal to the sum of 5 factorial numbers.

8, 9, 16, 25, 32, 36, 125, 128, 144, 216, 243, 289, 729, 1444, 1681, 2304, 3600, 5832, 45369, 121104, 363609, 7257636, 11289600, 6234681600

Offset

1,1

Comments

a(25), if it exists, is larger than 10^100.

Links

Table of n, a(n) for n=1..24.

Giovanni Resta, Decompositions of a(1)-a(24)

Example

5832 = 18^3 = 4! + 4! + 4! + 6! + 7!.

Crossrefs

Cf. A114377, A227644-A227651.

Sequence in context: A227648 A192636 A265731 * A331701 A145820 A385557

Adjacent sequences: A227643 A227644 A227645 * A227647 A227648 A227649

Keyword

nonn

Author

Giovanni Resta, Jul 19 2013

Status

approved