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A144545 a(n) = 2^(n*(n-1))*(2^n + 1)*Product_{i=1..n-1} (4^i - 1). 1

%I #11 Jun 20 2022 18:59:55

%S 2,3,60,25920,197406720,25015379558400,51615733565620224000,

%T 1718194449153210615595008000,918817155086936330770931156779008000,

%U 7877103854727828347931810809383874168094720000,1081561598265935342583934931877242782978883444539392000000

%N a(n) = 2^(n*(n-1))*(2^n + 1)*Product_{i=1..n-1} (4^i - 1).

%H T. D. Noe, <a href="/A144545/b144545.txt">Table of n, a(n) for n = 0..20</a>

%p g:=m->2^(m*(m-1))*mul( 4^i-1, i=1..m-1)*(2^m+1);

%o (Python)

%o from math import prod

%o def A144545(n): return ((1<<n)+1)*prod((1<<i)-1 for i in range(2,2*n-1,2)) << n*(n-1) # _Chai Wah Wu_, Jun 20 2022

%Y Cf. A003923, A001308, A003053.

%K nonn

%O 0,1

%A _N. J. A. Sloane_, Dec 30 2008

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Last modified April 25 09:38 EDT 2024. Contains 371967 sequences. (Running on oeis4.)