A367956 a(n) = Product_{i=1..n, j=1..n} (i + 3*j).

1, 4, 1120, 79833600, 3173289799680000, 123650071173117090201600000, 7337799401269093351612002462597120000000, 951792703318385182295191545713146608287219712000000000000

Offset

0,2

Links

Table of n, a(n) for n=0..7.

Formula

a(n) ~ A^(1/3) * 2^(16*n*(n+1)/3 + 13/18) * n^(n^2 - 19/36) / (Pi^(1/3) * Gamma(1/3)^(1/3) * 3^(n*(3*n+4)/2 + 11/36) * exp(3*n^2/2 + 1/36)), where A = A074962 is the Glaisher-Kinkelin constant.

Mathematica

Table[Product[i + 3*j, {i, 1, n}, {j, 1, n}], {n, 0, 10}]

Crossrefs

Cf. A074962, A079478, A324402, A367957, A367958.

Sequence in context: A110499 A009013 A351618 * A371603 A248656 A357512

Adjacent sequences: A367953 A367954 A367955 * A367957 A367958 A367959

Keyword

nonn

Author

Vaclav Kotesovec, Dec 06 2023

Status

approved