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.

A168442 a(n) = 2^n * Product_{k=1..n} (4*k*(4*k+2))^(n-k).

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%I A168442 #7 Jan 23 2024 11:27:51
%S A168442 1,2,96,368640,237817036800,44185111712759808000,
%T A168442 3612115491258144161739571200000,
%U A168442 184260348281378257834400760180580024320000000
%N A168442 a(n) = 2^n * Product_{k=1..n} (4*k*(4*k+2))^(n-k).
%C A168442 Hankel transform of A168441.
%F A168442 a(n) ~ Pi^(n/2) * 2^(2*n^2 + n + 5/24) * n^(n^2 + n/2 - 1/24) / (sqrt(A) * exp(3*n^2/2 + n/2 - 1/24)), where A is the Glaisher-Kinkelin constant A074962. - _Vaclav Kotesovec_, Jan 23 2024
%t A168442 Table[2^n*Product[(4*k*(4*k+2))^(n-k), {k,1,n}], {n,0,10}] (* _Vaclav Kotesovec_, Jan 23 2024 *)
%Y A168442 Cf. A168441.
%K A168442 easy,nonn
%O A168442 0,2
%A A168442 _Paul Barry_, Nov 25 2009