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Search: id:A132094
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| A132094 |
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Numerators of Blandin-Diaz compositional Bernoulli numbers (B^cos)_2,n. |
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+0
2
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| -1, -1, -1, -5, -7, -15, -7601, -91, -3617, -745739, -3317609, -5981591, -5436374093, -213827575, -213745149261, -249859397004145, -238988952277727, -28354566442037, -26315271553053477373, -108409774812137683, -3394075340453838586663, -62324003400640902910331
(list; graph; listen)
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OFFSET
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1,4
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COMMENT
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Denominators are A132095. Numerators and denominators given only for even n (odd n have numerators = 0).
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LINKS
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Hector Blandin and Rafael Diaz, Compositional Bernoulli numbers, Aug 06 2007, p. 8, 2nd table.
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FORMULA
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(((x^2)/2!)/(cos(x)-1) = SUM[n=0..infinity] (B^cos)_2,n ((x^n)/n!).
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EXAMPLE
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-1, 0, -1/6, 0, -1/10, 0, -5/42, 0, -7/30, 0, -15/22, 0, -7601/2730, 0.
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MAPLE
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A132094 := proc(n) add( 2*(-1)^i*x^(2*i)/(2*i+2)!, i=0..n+1) ; numer(coeftayl(-1/%, x=0, n)*n!) ; end: for n from 0 to 46 by 2 do printf("%d, ", A132094(n)) ; od: - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Oct 18 2007
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CROSSREFS
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Cf. A132092-A132106.
Sequence in context: A059613 A116048 A120282 this_sequence A082878 A106506 A029649
Adjacent sequences: A132091 A132092 A132093 this_sequence A132095 A132096 A132097
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KEYWORD
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frac,sign
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AUTHOR
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Jonathan Vos Post (jvospost3(AT)gmail.com), Aug 09 2007
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EXTENSIONS
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More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Oct 18 2007
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