A336248 - OEIS

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A336248

a(n) = (n!)^n * Sum_{k=0..n} (-1)^k / (k!)^n.

1, 0, 1, 26, 20481, 774403124, 2173797080953345, 645067515585218711490294, 27280857986486289638369834192338945, 213095986405176211170558965907644717041658073416, 386654453940903446694477049963665295677203885863801760000000001

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

OFFSET

0,4

LINKS

Table of n, a(n) for n=0..10.

MATHEMATICA

Table[(n!)^n Sum[(-1)^k/(k!)^n, {k, 0, n}], {n, 0, 10}]

PROG

(PARI) a(n) = (n!)^n * sum(k=0, n, (-1)^k / (k!)^n); \\ Michel Marcus, Jul 14 2020

CROSSREFS

Cf. A000166, A036740, A073701, A336247.

Sequence in context: A265877 A015060 A015035 * A359054 A359052 A209961

Adjacent sequences: A336245 A336246 A336247 * A336249 A336250 A336251

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Jul 14 2020

STATUS

approved