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A174893
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Coefficients of expansion polynomial:p(x,t)=Exp[ -t^2* x](1 - t)^(-x)/x
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0
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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
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OFFSET
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1,4
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COMMENTS
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Row sums are:
{1, 0, 0, 12, 60, 240, 1680, 15120, 136080, 1330560,...}
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LINKS
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Table of n, a(n) for n=1..52.
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FORMULA
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p(x,t)=Exp[ -t^2* x](1 - t)^(-x)/x
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EXAMPLE
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{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}
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MATHEMATICA
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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]
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CROSSREFS
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Sequence in context: A165675 A138771 A121748 * A130534 A008275 A107416
Adjacent sequences: A174890 A174891 A174892 * A174894 A174895 A174896
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KEYWORD
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sign,tabl,uned
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AUTHOR
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Roger L. Bagula, Apr 01 2010
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STATUS
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approved
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