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%I #20 Mar 11 2017 21:21:20
%S 0,1,-4,17,-85,499,-3388,26200,-227708,2199276,-23382216,271461816,
%T -3418002432,46399476096,-675622445184,10504980616320,
%U -173726527230720,3045008035203840,-56389237652344320,1100174877158791680,-22556707790402304000,484876713643386624000
%N Difference of Stirling numbers of the first kind.
%H Vincenzo Librandi, <a href="/A081052/b081052.txt">Table of n, a(n) for n = 0..300</a>
%F a(n) = s(n,2) - s(n,3), s(n,m) = signed Stirling number of the first kind.
%F E.g.f. (1+x)^-1 * (log(1+x) - (log(1+x)^2)/2).
%F Conjecture: a(n) +3*(n-1)*a(n-1) +(3*n^2-9*n+7)*a(n-2) +(n-2)^3*a(n-3)=0. - _R. J. Mathar_, Nov 24 2012
%t Table[StirlingS1[n,2]-StirlingS1[n,3],{n,30}] (* _Harvey P. Dale_, May 02 2012 *)
%o (PARI) for(n=1, 22, print1(stirling(n, 2) - stirling(n, 3),", ")) \\ _Indranil Ghosh_, Mar 11 2017
%Y Cf. A000399, A081051, A081048.
%K easy,sign
%O 0,3
%A _Paul Barry_, Mar 05 2003
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