cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A071226 n-th power of the product of next n natural numbers.

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%I A071226 #13 Aug 09 2021 19:23:11
%S A071226 1,36,1728000,645241282560000,6076911214672415134617600000,
%T A071226 3556852067865008593425339325122707718144000000,
%U A071226 269512166306728282203388439200933086924875888324090265600000000000000
%N A071226 n-th power of the product of next n natural numbers.
%H A071226 Harvey P. Dale, <a href="/A071226/b071226.txt">Table of n, a(n) for n = 1..20</a>
%F A071226 a(n) ~ exp(5/6) * n^(2*n^2) / 2^(n^2). - _Vaclav Kotesovec_, Jul 13 2021
%p A071226 seq(product(n*(n-1)/2+i,i=1..n)^n,n=1..7);
%t A071226 Table[Pochhammer[1 + (n-1)*n/2, n]^n, {n, 1, 8}] (* _Vaclav Kotesovec_, Jul 13 2021 *)
%t A071226 With[{nn=10},(Times@@#)^Length[#]&/@TakeList[Range[(nn(nn+1))/2],Range[ nn]]] (* _Harvey P. Dale_, Aug 09 2021 *)
%Y A071226 Cf. A057003.
%K A071226 nonn
%O A071226 1,2
%A A071226 _Amarnath Murthy_, May 17 2002
%E A071226 More terms from _Sascha Kurz_, Jan 02 2003