This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A081052 #20 Mar 11 2017 21:21:20 %S A081052 0,1,-4,17,-85,499,-3388,26200,-227708,2199276,-23382216,271461816, %T A081052 -3418002432,46399476096,-675622445184,10504980616320, %U A081052 -173726527230720,3045008035203840,-56389237652344320,1100174877158791680,-22556707790402304000,484876713643386624000 %N A081052 Difference of Stirling numbers of the first kind. %H A081052 Vincenzo Librandi, <a href="/A081052/b081052.txt">Table of n, a(n) for n = 0..300</a> %F A081052 a(n) = s(n,2) - s(n,3), s(n,m) = signed Stirling number of the first kind. %F A081052 E.g.f. (1+x)^-1 * (log(1+x) - (log(1+x)^2)/2). %F A081052 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 A081052 Table[StirlingS1[n,2]-StirlingS1[n,3],{n,30}] (* _Harvey P. Dale_, May 02 2012 *) %o A081052 (PARI) for(n=1, 22, print1(stirling(n, 2) - stirling(n, 3),", ")) \\ _Indranil Ghosh_, Mar 11 2017 %Y A081052 Cf. A000399, A081051, A081048. %K A081052 easy,sign %O A081052 0,3 %A A081052 _Paul Barry_, Mar 05 2003