A289949 a(n) = Sum_{k=0..n} k!^4.

1, 2, 18, 1314, 333090, 207693090, 268946253090, 645510228813090, 2643553803594573090, 17342764866576345933090, 173418555892594089945933090, 2538940579958951120707545933090, 52646414799433780559063261145933090, 1503614384819523432725006336630745933090

Offset: 0

Author

Seiichi Manyama, Jul 16 2017

Keywords

• nonn

Links

• Seiichi Manyama, Table of n, a(n) for n = 0..144

Crossrefs

Cf. A289945.

Sum_{k=0..n} k!^m: A003422(n+1) (m=1), A061062 (m=2), A289948 (m=3), this sequence (m=4).

Programs

Mathematica

Accumulate[(Range[0,15]!)^4] (* Harvey P. Dale, Nov 29 2020 *)

PARI

a(n) = sum(k=0, n, k!^4); \\ Michel Marcus, Jul 16 2017

Formula

a(n) = A289945(n) + 1 for n > 0.