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A072402 a(n) = 6^n *sum_{k=1..infinity} Gamma(n+k/6)/ (k!*Gamma(k/6) *exp(1)), where Gamma is Capital-Greek-Gamma, the Gamma-function. 0

%I

%S 1,8,113,2283,59956,1937111,74285023,3296959548,166209034083,

%T 9380840313601,58597181530233,40131720225336433,2990153392901281153,

%U 240791249514701885728,20839616039099721143561,1928991192695402634245651

%N a(n) = 6^n *sum_{k=1..infinity} Gamma(n+k/6)/ (k!*Gamma(k/6) *exp(1)), where Gamma is Capital-Greek-Gamma, the Gamma-function.

%t a[n_] := 6^n*Sum[Gamma[n + k/6]/(k!*Gamma[k/6]), {k, 1, Infinity}]/Exp[1]; Table[ a[n], {n, 1, 16}]

%K nonn

%O 1,2

%A _Karol A. Penson_, Jun 16 2002

%E More terms from _Robert G. Wilson v_, Jul 17 2002

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Last modified August 7 15:30 EDT 2020. Contains 336276 sequences. (Running on oeis4.)