A369181 a(n) = (n^3-1)!.

1, 5040, 403291461126605635584000000, 1982608315404440064116146708361898137544773690227268628106279599612729753600000000000000

Offset

1,2

Links

Table of n, a(n) for n=1..4.

Formula

a(n) = (2*Pi)^(1/2 - n^2/2)*(n^2)^(n^3 - 1/2)*Product_{j=0..n^2-1} Gamma(n + j/n^2).

a(n) = A000142(A068601(n)).

Maple

seq((n^3-1)! , n = 1..4);

Crossrefs

Cf. A000142, A068601, A256511.

Sequence in context: A072242 A271947 A045517 * A068897 A200730 A229674

Adjacent sequences: A369178 A369179 A369180 * A369182 A369183 A369184

Keyword

nonn

Author

Karol A. Penson, Jan 15 2024

Status

approved