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 A129587 n!*( (1+3n+n^2)*H(n)-n ), where H=harmonic numbers. 2
 4, 29, 191, 1354, 10634, 92700, 892548, 9430416, 108630864, 1356063840, 18245210400, 263298142080, 4057825368960, 66527793642240, 1156298057913600, 21239191491840000, 411134620109875200, 8365635747476582400 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS The numbers can be generated from row sums from coefficients of the polynomials sum_{i=1..n} [(n+1)^2-1+(n+1-i)*z^n]*z^(i-1)/i. The coefficients written as an array of 2n numbers in row n for the first 5 polynomials are 3 1 <- 3+z 8 4 2 1/2 <- 8+4z+2z^2+z^3/2 15 15/2 5 3 1 1/3 24 12 8 6 4 3/2 2/3 1/4 35 35/2 35/3 35/4 7 5 2 1 1/2 1/5 These rows multiplied by n! are 3 1 16 8 4 1 90 45 30 18 6 2 576 288 192 144 96 36 16 6 4200 2100 1400 1050 840 600 240 120 60 24 where the first column is A129326. The latter row sums define a(n), which are n! times the polynomials evaluated at z=1. LINKS CROSSREFS Cf. A001008, A002805, A129326. Sequence in context: A198794 A079885 A121191 * A143551 A100022 A001883 Adjacent sequences:  A129584 A129585 A129586 * A129588 A129589 A129590 KEYWORD nonn,less AUTHOR Paul Curtz, May 30 2007 EXTENSIONS Edited and corrected by R. J. Mathar, Jul 27 2008 STATUS approved

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