cp's OEIS Frontend

A072598 a(n)= 3^(4*n-4)* Sum_{k>=0} ( Gamma(n+k/3+1/3) / Gamma(4/3+k/3) ) * (Gamma(n+k/3+2/3) / Gamma(5/3+k/3) ) * (Gamma(n+k/3+1) / Gamma(2+k/3) ) * Gamma(n+k/3+4/3) / ( Gamma(7/3+k/3) * k! *exp(1)).

%I A072598 #7 Oct 13 2024 17:42:31
%S A072598 1,1961,22982765,897960515649,87104111341922641,
%T A072598 17553971396873140572281,6522485663882405640795371581,
%U A072598 4101670732571144797304609148820545,4092893743093429344164150395340192148609,6162975970715988703282664052430391759867866441
%N A072598 a(n)= 3^(4*n-4)* Sum_{k>=0} ( Gamma(n+k/3+1/3) / Gamma(4/3+k/3) ) * (Gamma(n+k/3+2/3) / Gamma(5/3+k/3) ) * (Gamma(n+k/3+1) / Gamma(2+k/3) ) * Gamma(n+k/3+4/3) / ( Gamma(7/3+k/3) * k! *exp(1)).
%C A072598 Gamma in the definition is the standard Capital-Greek-Gamma function.
%Y A072598 Cf. A072019, A072020.
%K A072598 nonn
%O A072598 1,2
%A A072598 _Karol A. Penson_, Jun 23 2002
%E A072598 More terms from _Sean A. Irvine_, Oct 13 2024