A289945 a(n) = Sum_{k=1..n} k!^4.

1, 17, 1313, 333089, 207693089, 268946253089, 645510228813089, 2643553803594573089, 17342764866576345933089, 173418555892594089945933089, 2538940579958951120707545933089, 52646414799433780559063261145933089

Offset: 1

Author

Eric W. Weisstein, Jul 16 2017

Keywords

• nonn

Comments

The only prime in this sequence is a(2) = 17 since a(n) is divisible by 13 for n >= 12 and there are no other primes with n < 12.

Links

• Seiichi Manyama, Table of n, a(n) for n = 1..144
• Eric Weisstein's World of Mathematics, Factorial Sums

Crossrefs

Cf. A007489 (k!), A104344 (k!^2), A289946 (k!^6).

Programs

Mathematica

Table[Sum[k!^4, {k, n}], {n, 12}]
Accumulate[(Range[15]!)^4] (* Harvey P. Dale, Jul 12 2019 *)

PARI

a(n) = sum(k=1, n, k!^4); \\ Michel Marcus, Jul 16 2017