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A280845 a(n) = 16^n * n * (n!)^4. 1

%I

%S 0,16,8192,15925248,86973087744,1087163596800000,27052109211893760000,

%T 1212439465398129131520000,90809637490664903729479680000,

%U 10724436568372543800644091248640000,1906566501044007786781171777536000000000,491287106495421596910231193510320537600000000

%N a(n) = 16^n * n * (n!)^4.

%H Daniel Suteu, <a href="/A280845/b280845.txt">Table of n, a(n) for n = 0..50</a>

%F a(n) ~ Pi/4 * A134374(n).

%F a(n) ~ Pi^2 * 4^(2n + 1) / exp(4n) * n^(4n + 3).

%F Lim_{n->infinity} a(n) / ((2n+1)!)^2 = Pi/4.

%o (PARI) a(n) = 16^n * n * (n!)^4;

%Y Cf. A134374, A280100.

%K nonn,easy

%O 0,2

%A _Daniel Suteu_, Jan 09 2017

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Last modified September 30 11:00 EDT 2022. Contains 357105 sequences. (Running on oeis4.)