A256511 - OEIS

A256511

a(n) = (n^2 - 1)!.

1, 6, 40320, 1307674368000, 620448401733239439360000, 10333147966386144929666651337523200000000, 12413915592536072670862289047373375038521486354677760000000000

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OFFSET

1,2

LINKS

Table of n, a(n) for n=1..7.

FORMULA

a(n) = (2*Pi)^(1/2 - n/2)*n^(n^2 - 1/2)*Product_{j=0..n-1} Gamma(n+j/n). - Karol A. Penson, Jan 11 2024

MAPLE

seq(factorial(i^2-1), i = 1 .. 8);

MATHEMATICA

(Range[10]^2-1)! (* Harvey P. Dale, Oct 07 2023 *)

CROSSREFS

Cf. A000142, A000290, A088020.

Sequence in context: A306667 A172812 A230238 * A295788 A295789 A261626

Adjacent sequences: A256508 A256509 A256510 * A256512 A256513 A256514

KEYWORD

nonn

AUTHOR

Nichole Suomi Smith, Mar 31 2015

STATUS

approved