A240993 - OEIS

The OEIS is supported by the many generous donors to the OEIS Foundation.

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give

A240993

A000142 (n+1) * A002109(n), a product of factorials and hyperfactorials.

1, 2, 24, 2592, 3317760, 62208000000, 20316635136000000, 133852981198454784000000, 20211123400293732996612096000000, 78302033109811407811828935756349440000000, 8613223642079254859301182933198438400000000000000000

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

OFFSET

0,2

COMMENTS

a(n+1) / a(n) = A055897(n+2);

row products of the triangle A245334.

LINKS

Reinhard Zumkeller, Table of n, a(n) for n = 0..36

FORMULA

a(n) ~ A * sqrt(2*Pi) * n^(n^2/2+3*n/2+19/12) / exp(n*(n+4)/4), where A = 1.2824271291... is the Glaisher-Kinkelin constant (see A074962). - Vaclav Kotesovec, Nov 14 2014

MATHEMATICA

Table[(n+1)!*Hyperfactorial[n], {n, 0, 10}] (* Vaclav Kotesovec, Nov 14 2014 *)

Table[(n+1)*(n!)^(n+1)/BarnesG[n+1], {n, 0, 10}] (* Vaclav Kotesovec, Nov 14 2014 *)

PROG

(Haskell)

a240993 n = a000142 (n + 1) * a002109 n

CROSSREFS

Cf. A000142, A002109, A245334, A055897, A245334, A111063, A074962.

Sequence in context: A184595 A369678 A262206 * A007079 A083697 A110131

Adjacent sequences: A240990 A240991 A240992 * A240994 A240995 A240996

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller, Aug 31 2014

STATUS

approved