A333841 Integers n such that n! = x^2 + y^3 + z^4 where x, y and z are nonnegative integers, is soluble.

0, 1, 2, 3, 4, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24

Offset

1,3

Links

Table of n, a(n) for n=1..23.

Formula

{k: k! in A123053}. - R. J. Mathar, Dec 15 2020

Example

6! = 11^2+7^3+4^4; 8! = 192^2+15^3+3^4;  9! = 443^2+55^3+4^4; 10! = 1888^2+40^3+4^4; 11! = 5896^2+172^3+16^4, so 6, 8, 9, 10 and 11 are in the sequence. - R. J. Mathar, Dec 15 2020

Crossrefs

Cf. A123053, A267414, A337046.

Sequence in context: A067118 A320503 A138561 * A231236 A346131 A151988

Adjacent sequences: A333838 A333839 A333840 * A333842 A333843 A333844

Keyword

nonn,more

Author

Altug Alkan, Aug 14 2020

Status

approved