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A071226
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n-th power of the product of next n natural numbers.
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1
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1, 36, 1728000, 645241282560000, 6076911214672415134617600000, 3556852067865008593425339325122707718144000000, 269512166306728282203388439200933086924875888324090265600000000000000
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OFFSET
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1,2
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LINKS
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FORMULA
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MAPLE
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seq(product(n*(n-1)/2+i, i=1..n)^n, n=1..7);
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MATHEMATICA
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Table[Pochhammer[1 + (n-1)*n/2, n]^n, {n, 1, 8}] (* Vaclav Kotesovec, Jul 13 2021 *)
With[{nn=10}, (Times@@#)^Length[#]&/@TakeList[Range[(nn(nn+1))/2], Range[ nn]]] (* Harvey P. Dale, Aug 09 2021 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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