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%I #4 Apr 14 2023 15:33:08
%S 1,5,25,95,-275,-14755,-278795,-4134145,-49014215,-304537195,
%T 7111142545,397535340575,12667519999525,327297915798125,
%U 7052174242084525,109425656597938175,-88497453300450575,-107470322009554282075,-6297063330456696598775
%N Alternating row sums of triangle A049374 (S1p(6)).
%F a(n) = Sum_{m=1..n} A049374(n,m)*(-1)^(m-1), n>=1.
%F E.g.f.: 1-exp(-(1-(1-x)^5)/(5*(1-x)^5)). Cf. e.g.f. first column of A049374.
%Y Cf. A049402 (row sums of A049374).
%K sign,easy
%O 1,2
%A _Wolfdieter Lang_ Oct 12 2007