A072402 a(n) = 6^n * Sum_{k>=1} Gamma(n + k/6)/ (k! * Gamma(k/6) * e).

1, 8, 113, 2283, 59956, 1937111, 74285023, 3296959548, 166209034083, 9380840313601, 585971815302336, 40131720225336433, 2990153392901281153, 240791249514701885728, 20839616039099721143561, 1928991192695402634245651, 190159902809538562278266988

Offset: 1

Author

Karol A. Penson, Jun 16 2002

Keywords

• nonn

Programs

Mathematica

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

Extensions

More terms from Robert G. Wilson v, Jul 17 2002

a(11) corrected and a(17) from Sean A. Irvine, Sep 28 2024