A368132 a(n) = Product_{k=1..n} (n + k)^k.

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

Offset: 0

Author

Vaclav Kotesovec, Dec 13 2023

Keywords

• nonn

Crossrefs

Cf. A002109, A367927.

Programs

Mathematica

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

Formula

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