A339311 - OEIS

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A339311

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

3

1, 5, 225, 333089, 24891170433, 139317055679149697, 82606511560391889386751489, 6984964663477899063759529684476994049, 109110688697205077023425816926479750793809817618433, 395940866162019279867473563258123776010342586429441374123441432577

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,2

LINKS

Seiichi Manyama, Table of n, a(n) for n = 1..30

MATHEMATICA

a[n_] := Sum[(k!)^n, {k, 1, n}]; Array[a, 10] (* Amiram Eldar, Apr 28 2021 *)

PROG

(PARI) {a(n) = sum(k=1, n, k!^n)}

CROSSREFS

Sum_{k=1..n} (k!)^m: A007489 (m=1), A104344 (m=2), A138564 (m=3), A289945 (m=4), A316777 (m=5), A289946 (m=6).

Cf. A000142, A112999.

Sequence in context: A185551 A324098 A263430 * A200988 A201491 A181584

Adjacent sequences: A339308 A339309 A339310 * A339312 A339313 A339314

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Nov 29 2020

STATUS

approved