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A074319 Product of next n factorials. 2
2, 144, 2073600, 17557585920000, 192668014586363904000000, 5116462645455544976110780416000000000, 551096864092633744724294766310605805584384000000000000 (list; graph; refs; listen; history; text; internal format)
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
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
KEYWORD
nonn
AUTHOR
Zak Seidov, Sep 22 2002
STATUS
approved

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Last modified April 17 11:55 EDT 2024. Contains 371763 sequences. (Running on oeis4.)