A134139 Alternating row sums of triangle A049353 (S1p(5)).

1, 4, 16, 44, -244, -7336, -112664, -1406336, -14058944, -66627136, 1879992896, 85070733824, 2359547577856, 54106723270144, 1055100890838016, 15611883969810944, 48348082318102016, -9055743653514520576, -521351156412528902144

Offset: 1

Author

Wolfdieter Lang Oct 12 2007

Keywords

• sign
• easy

Crossrefs

Cf. A049378 (row sums of A049353).

Formula

a(n)=sum(A049353(n,m)*(-1)^(m-1),m=1..n), n>=1.

E.g.f.: 1-exp(-x*(2-x)*(2-2*x+x^2)/(4*(1-x)^4)). Cf. e.g.f. first column of A049353.