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A071226
n-th power of the product of next n natural numbers.
1
1, 36, 1728000, 645241282560000, 6076911214672415134617600000, 3556852067865008593425339325122707718144000000, 269512166306728282203388439200933086924875888324090265600000000000000
OFFSET
1,2
LINKS
FORMULA
a(n) ~ exp(5/6) * n^(2*n^2) / 2^(n^2). - Vaclav Kotesovec, Jul 13 2021
MAPLE
seq(product(n*(n-1)/2+i, i=1..n)^n, n=1..7);
MATHEMATICA
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 *)
CROSSREFS
Cf. A057003.
Sequence in context: A271386 A065752 A367543 * A134369 A151654 A135240
KEYWORD
nonn
AUTHOR
Amarnath Murthy, May 17 2002
EXTENSIONS
More terms from Sascha Kurz, Jan 02 2003
STATUS
approved