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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 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

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