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A308943 a(n) = Product_{d|n} binomial(n,d). 1
1, 2, 3, 24, 5, 1800, 7, 15680, 756, 113400, 11, 79693891200, 13, 4372368, 20495475, 44972928000, 17, 2028339316523520, 19, 52737518268864000, 3247700400, 3585005424, 23, 38135556819759802035135799296, 1328250, 87885070000, 370142004375, 10293527616645873600000, 29 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Seiichi Manyama, Table of n, a(n) for n = 1..419

MATHEMATICA

Table[Product[Binomial[n, d], {d, Divisors[n]}], {n, 1, 29}]

PROG

(PARI) a(n) = my(p=1); fordiv(n, d, p *= binomial(n, d)); p; \\ Michel Marcus, Jul 02 2019

CROSSREFS

Cf. A001142, A008578 (fixed points), A056045, A098710, A135396.

Sequence in context: A037277 A001783 A095996 * A061098 A160630 A119619

Adjacent sequences:  A308940 A308941 A308942 * A308944 A308945 A308946

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Jul 01 2019

STATUS

approved

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Last modified April 21 03:06 EDT 2021. Contains 343145 sequences. (Running on oeis4.)