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 A081052 Difference of Stirling numbers of the first kind. 4
 0, 1, -4, 17, -85, 499, -3388, 26200, -227708, 2199276, -23382216, 271461816, -3418002432, 46399476096, -675622445184, 10504980616320, -173726527230720, 3045008035203840, -56389237652344320, 1100174877158791680, -22556707790402304000, 484876713643386624000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..300 FORMULA a(n) = s(n,2) - s(n,3), s(n,m) = signed Stirling number of the first kind. E.g.f. (1+x)^-1 * (log(1+x) - (log(1+x)^2)/2). 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 MATHEMATICA Table[StirlingS1[n, 2]-StirlingS1[n, 3], {n, 30}] (* Harvey P. Dale, May 02 2012 *) PROG (PARI) for(n=1, 22, print1(stirling(n, 2) - stirling(n, 3), ", ")) \\ Indranil Ghosh, Mar 11 2017 CROSSREFS Cf. A000399, A081051, A081048. Sequence in context: A093344 A087316 A104979 * A020074 A163071 A321384 Adjacent sequences:  A081049 A081050 A081051 * A081053 A081054 A081055 KEYWORD easy,sign AUTHOR Paul Barry, Mar 05 2003 STATUS approved

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Last modified February 24 19:27 EST 2020. Contains 332209 sequences. (Running on oeis4.)