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Search: id:A137660
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| A137660 |
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Triangular sequence of coefficients from the expansion of p(x,t)=Tan(x*t)/Tan(t). |
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+0
1
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| 0, 1, 0, -4, 0, 4, 0, -64, 0, -320, 0, 384, 0, -7680, 0, -26880, 0, -161280, 0, 195840, 0, -3096576, 0, -10321920, 0, -43352064, 0, -263208960, 0, 319979520, 0, -3096576000, 0, -10218700800, 0, -40874803200, 0, -173717913600, 0, -1055932416000, 0, 1283840409600
(list; graph; listen)
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OFFSET
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1,4
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COMMENT
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Row sums are: {1, 0, 0, 0, 0, 0, ...};
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FORMULA
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p(x,t)=Tan(x*t)/Tan(t)=Sum[P(x,n)*t^n/n!,{n,0,Infinity}]; out_n,m=(n+1)!*n!*Coefficients(p(x,n)) for even n.
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EXAMPLE
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{0, 1},
{0, -4, 0, 4},
{0, -64, 0, -320, 0, 384},
{0, -7680, 0, -26880, 0, -161280, 0, 195840},
{0, -3096576, 0, -10321920, 0, -43352064, 0, -263208960, 0, 319979520},
{0, -3096576000, 0, -10218700800, 0, -40874803200, 0, -173717913600, 0, -1055932416000, 0, 1283840409600}
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MATHEMATICA
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p[t_] = Tan[x*t]/Tan[t]; Table[ ExpandAll[(n+1)!*n!*SeriesCoefficient[ Series[p[t], {t, 0, 30}], n]], {n, 0, 10, 2}]; a = Table[ CoefficientList[(n+1)!*n!*SeriesCoefficient[ Series[p[t], {t, 0, 30}], n], x], {n, 0, 10}]; Flatten[a]
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CROSSREFS
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Sequence in context: A035622 A112919 A019201 this_sequence A123583 A140574 A010636
Adjacent sequences: A137657 A137658 A137659 this_sequence A137661 A137662 A137663
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KEYWORD
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tabf,sign
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AUTHOR
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Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Apr 27 2008
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