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 A051525 Third unsigned column of triangle A051338. 1
 0, 0, 1, 21, 335, 5000, 74524, 1139292, 18083484, 299705400, 5198985576, 94461323616, 1797180658272, 35776357096896, 744402741205824, 16169795109262080, 366214212167489280, 8636605663418933760 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 COMMENTS From Johannes W. Meijer, Oct 20 2009: (Start) The asymptotic expansion of the higher order exponential integral E(x,m=3,n=6) ~ exp(-x)/x^3*(1 - 21/x + 335/x^2 - 5000/x^3 + 74524/x^4 - 1139292/x^5 + ...) leads to the sequence given above. See A163931 and A163932 for more information. (End) REFERENCES Mitrinovic, D. S. and Mitrinovic, R. S. see reference given for triangle A051338. LINKS FORMULA a(n) = A051338(n, 2)*(-1)^n; e.g.f.: (log(1-x))^2/(2*(1-x)^6). If we define f(n,i,a)=sum(binomial(n,k)*stirling1(n-k,i)*product(-a-j,j=0..k-1),k=0..n-i), then a(n) = |f(n,2,6)|, for n>=1. - Milan Janjic, Dec 21 2008 CROSSREFS Cf. A001725 (m=0), A051524 (m=1) unsigned columns. Sequence in context: A016191 A297336 A095905 * A107396 A036224 A113895 Adjacent sequences:  A051522 A051523 A051524 * A051526 A051527 A051528 KEYWORD easy,nonn AUTHOR STATUS approved

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Last modified January 23 19:45 EST 2020. Contains 331175 sequences. (Running on oeis4.)