A174893 - OEIS

A174893

Coefficients of expansion polynomial:p(x,t)=Exp[ -t^2* x](1 - t)^(-x)/x

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

1,4

COMMENTS

Row sums are:

{1, 0, 0, 12, 60, 240, 1680, 15120, 136080, 1330560,...}

LINKS

Table of n, a(n) for n=1..52.

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