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A089501 Built from superfactorials A000178. 1

%I #6 Jul 10 2015 05:21:04

%S 1,6,2880,870912000,637129677864960000,

%T 3076276241856388273274880000000,

%U 218470761021769399142244567460557619200000000000,444747235963340607791337561259087696911923105885061120000000000000000

%N Built from superfactorials A000178.

%C a(n) appears as a numerator in A089500.

%F N(n) := sfac(n-1)*sfac(2*n+1)/sfac(n+1) with sfac(n) := product(k!, k=1..n), n>=1, sfac(0) := 1. sfac(n)= A000178(n).

%F a(n) ~ 2^(2*n^2 + 5*n + 23/12) * n^(2*n^2 + 2*n -1/12) * Pi^n / (A * exp(3*n^2 + 2*n - 1/12)), where A = A074962 = 1.2824271291... is the Glaisher-Kinkelin constant. - _Vaclav Kotesovec_, Jul 10 2015

%K nonn,easy

%O 0,2

%A _Wolfdieter Lang_, Nov 07 2003

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Last modified April 23 03:30 EDT 2024. Contains 371906 sequences. (Running on oeis4.)