A368132 - OEIS

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A368132

a(n) = Product_{k=1..n} (n + k)^k.

1

1, 2, 48, 21600, 252887040, 98761420800000, 1570566914538209280000, 1201180685574618279796801536000, 50959974187374808154771772407808000000000, 135885790744085787579893977066309675148441026560000000, 25449451333612206329171203227236492481881984357892096000000000000000

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

OFFSET

0,2

LINKS

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

FORMULA

a(n) ~ 2^(n/2 + 1/12) * exp(n^2/4 + 1/24) * n^(n*(n+1)/2).

MATHEMATICA

Table[Product[(n + k)^k, {k, 1, n}], {n, 0, 10}]

CROSSREFS

Cf. A002109, A367927.

Sequence in context: A056989 A352207 A230886 * A090770 A081960 A123742

Adjacent sequences: A368129 A368130 A368131 * A368133 A368134 A368135

KEYWORD

nonn

AUTHOR

Vaclav Kotesovec, Dec 13 2023

STATUS

approved