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 A174893 Coefficients of expansion polynomial:p(x,t)=Exp[ -t^2* x](1 - t)^(-x)/x 0
 1, -1, 1, 2, -3, 1, 6, 11, -6, 1, 24, 10, 35, -10, 1, 120, 94, -45, 85, -15, 1, 720, 756, 364, -315, 175, -21, 1, 5040, 6348, 2828, 1729, -1120, 322, -28, 1, 40320, 57744, 27404, 5796, 7329, -3024, 546, -36, 1, 362880, 572976, 298980, 81080, -4725, 25473, -6930 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,4 COMMENTS Row sums are: {1, 0, 0, 12, 60, 240, 1680, 15120, 136080, 1330560,...} LINKS FORMULA p(x,t)=Exp[ -t^2* x](1 - t)^(-x)/x EXAMPLE {1}, {-1, 1}, {2, -3, 1}, {6, 11, -6, 1}, {24, 10, 35, -10, 1}, {120, 94, -45, 85, -15, 1}, {720, 756, 364, -315, 175, -21, 1}, {5040, 6348, 2828, 1729, -1120, 322, -28, 1}, {40320, 57744, 27404, 5796, 7329, -3024, 546, -36, 1}, {362880, 572976, 298980, 81080, -4725, 25473, -6930, 870, -45, 1} MATHEMATICA p[t_] = Exp[ -t^2* x](1 - t)^(-x)/x; Table[ ExpandAll[n!SeriesCoefficient[ Series[p[t], {t, 0, 30}], n]], {n, 1, 10}]; a = Table[n! CoefficientList[SeriesCoefficient[ Series[p[t], {t, 0, 30}], n], x], {n, 1, 10}]; Flatten[a] CROSSREFS Sequence in context: A165675 A138771 A121748 * A008275 A130534 A107416 Adjacent sequences:  A174890 A174891 A174892 * A174894 A174895 A174896 KEYWORD sign,tabl,uned AUTHOR Roger L. Bagula, Apr 01 2010 STATUS approved

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Last modified February 23 04:44 EST 2019. Contains 320411 sequences. (Running on oeis4.)