

A074319


Product of next n factorials.


2




OFFSET

1,1


COMMENTS

Product of next n factorials gives this sequence, while product of first n factorials = superfactorial is A000178. If superfactorial is sf(n) then this function, "uppersuperfactorial", is usf(n)= sf(2n)/sf(n).


LINKS

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


FORMULA

product(i!, i=n+1, 2n).
a(n) ~ 2^(2*n^2 + 5*n/2 + 5/12) * n^(n*(3*n/2+1)) * Pi^(n/2) / exp(n*(9*n+4)/4).  Vaclav Kotesovec, Jul 11 2015


MATHEMATICA

Table[Product[i!, {i, n+1, 2n}], {n, 10}]


CROSSREFS

Cf. A000178.
Sequence in context: A232998 A103207 A093002 * A188284 A306955 A228507
Adjacent sequences: A074316 A074317 A074318 * A074320 A074321 A074322


KEYWORD

nonn


AUTHOR

Zak Seidov, Sep 22 2002


STATUS

approved



