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A074319
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Product of next n factorials.
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2
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OFFSET
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1,1
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COMMENTS
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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).
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LINKS
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FORMULA
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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
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MATHEMATICA
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Table[Product[i!, {i, n+1, 2n}], {n, 10}]
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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