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%I #8 Aug 23 2024 08:42:34
%S 0,1,-4,18,-95,584,-4123,32969,-294992,2922956,-31791716,376719892,
%T -4832017320,66713229192,-986611705584,15561976320144,
%U -260804276106624,4628322010931328,-86710491660063744,1710290952899283456,-35427639035553292800,768970029545198092800
%N Alternating sum of first three Stirling numbers of the first kind.
%F a(n) = s(n, 1)-s(n, 2)+s(n, 3), s(n, m)= signed Stirling numbers of the first kind.
%F E.g.f.: (1+x)^(-1)*(log(1+x)-log(1+x)^2/2+log(1+x)^3/6).
%Y Cf. A000399, A081052, A081046.
%K easy,sign,changed
%O 0,3
%A _Paul Barry_, Mar 05 2003
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