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a(n) = 6^n * Sum_{k>=1} Gamma(n + k/6)/ (k! * Gamma(k/6) * e).
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%I #10 Sep 28 2024 22:06:16

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

%T 9380840313601,585971815302336,40131720225336433,2990153392901281153,

%U 240791249514701885728,20839616039099721143561,1928991192695402634245651,190159902809538562278266988

%N a(n) = 6^n * Sum_{k>=1} Gamma(n + k/6)/ (k! * Gamma(k/6) * e).

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

%t 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

%E a(11) corrected and a(17) from _Sean A. Irvine_, Sep 28 2024