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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)). 0

%I

%S 1,1961,22982765,897960515649,87104111341922641,

%T 17553971396873140572281,6522485663882405640795371581,

%U 4101670732571144797304609148820545

%N 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 Gamma in the definition is the standard Capital-Greek-Gamma function.

%Y Cf. A072019, A072020.

%K nonn

%O 1,2

%A _Karol A. Penson_, Jun 23 2002

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Last modified August 8 21:55 EDT 2022. Contains 356016 sequences. (Running on oeis4.)