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A289945 a(n) = Sum_{k=1..n} k!^4. 7
1, 17, 1313, 333089, 207693089, 268946253089, 645510228813089, 2643553803594573089, 17342764866576345933089, 173418555892594089945933089, 2538940579958951120707545933089, 52646414799433780559063261145933089 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

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

MATHEMATICA

Table[Sum[k!^4, {k, n}], {n, 12}]

Accumulate[(Range[15]!)^4] (* Harvey P. Dale, Jul 12 2019 *)

PROG

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

CROSSREFS

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

Sequence in context: A268067 A188717 A266866 * A128542 A316746 A067409

Adjacent sequences:  A289942 A289943 A289944 * A289946 A289947 A289948

KEYWORD

nonn

AUTHOR

Eric W. Weisstein, Jul 16 2017

STATUS

approved

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Last modified January 26 01:48 EST 2020. Contains 331270 sequences. (Running on oeis4.)