A296661 a(n) = (exp(k)*Gamma(1+n, k) - exp(-k)*Gamma(1+n, -k))/k! for k = 3.

0, 1, 2, 15, 60, 381, 2286, 16731, 133848, 1211193, 12111930, 133290279, 1599483348, 20793814965, 291113409510, 4366705925619, 69867294809904, 1187744054815089, 21379392986671602, 406208467134180927, 8124169342683618540

Offset: 0

Author

Peter Luschny, Dec 18 2017

Keywords

• nonn

Crossrefs

Cf. A010843, A053486.

Programs

Maple

A296661 := n -> (exp(3)*GAMMA(1+n,3) - exp(-3)*GAMMA(1+n,-3))/6:
seq(simplify(A296661(n)), n=0..20);

Formula

a(n) = (A053486(n) - A010843(n+1))/6. [corrected by Jason Yuen, Nov 23 2024]

D-finite with recurrence a(n) -n*a(n-1) -9*a(n-2) +9*(n-2)*a(n-3)=0. - R. J. Mathar, Sep 29 2020