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Search: id:A132092
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| A132092 |
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Numerators of Blandin-Diaz compositional Bernoulli numbers (B^sin)_3,n. |
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+0
18
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| -1, -1, -11, -17, -563, -381, 55277, 242747, 406146379, 104180627, -398489682593, -169622229019, -6523856615663, -251077358513783, 35076901882951197, 2869253069531102351, 20717378005021857058651, 1335883610404565359777223, 27846976637614329871324177
(list; graph; listen)
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OFFSET
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1,3
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COMMENT
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Denominators are A132093. 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
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FORMULA
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(((x^3)/3!)/(sin(x)-x) = SUM[n=0..infinity] (B^sin)_3,n ((x^n)/n!).
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MAPLE
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A132092 := proc(n) local g; g := taylor(sin(x)-x, x=0, n+7) ; g := taylor(g/x^3, x=0, n+4) ; g := taylor( 1/6/g, x=0, n+4) ; n!*coeftayl(g, x=0, n) ; numer(%) ; end: for n from 0 to 40 by 2 do printf("%d, ", A132092(n)) ; od: - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 25 2008
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CROSSREFS
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Cf. A132092-A132106.
Sequence in context: A056577 A166655 A146446 this_sequence A056705 A065706 A078874
Adjacent sequences: A132089 A132090 A132091 this_sequence A132093 A132094 A132095
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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), May 25 2008
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