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%I
%S 1,4,16,44,-244,-7336,-112664,-1406336,-14058944,-66627136,1879992896,
%T 85070733824,2359547577856,54106723270144,1055100890838016,
%U 15611883969810944,48348082318102016,-9055743653514520576,-521351156412528902144
%N Alternating row sums of triangle A049353 (S1p(5)).
%F a(n)=sum(A049353(n,m)*(-1)^(m-1),m=1..n), n>=1.
%F 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.
%Y Cf. A049378 (row sums of A049353).
%K sign,easy
%O 1,2
%A _Wolfdieter Lang_ Oct 12 2007
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