A284865 Alternating row sums of the Sheffer triangle S2[3,2] given by A225466.

1, -1, -8, -1, 217, 1196, -3725, -115777, -803150, 3402485, 145172737, 1528780238, -1328359499, -320347469485, -5507171702648, -28294413916213, 915647446089037, 28738067698188692, 369693788462739487, -1233559476327263869

Offset: 0

Author

Wolfdieter Lang, Apr 10 2017

Keywords

• sign
• easy

Comments

This is a generalization of sequence A000587 because S2[3,2] = A225466 is a generalization of the Stirling2 triangle A048993.

For the row sums see A284864.

Crossrefs

Cf. A000587, A225466, A284864, A284860 (case [3,1]).

Formula

a(n) = Sum_{k=0..n} (-1)^k*A225466(n, k).

E.g.f.: exp(2*x)*exp(1 - exp(3*x)) (Sheffer property).

a(n) = (1/e)*Sum_{m>=0} ((-1)^m / m!)*(2+3*m)^n, n >= 0, (Dobiński type formula).