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A132092 Numerators of Blandin-Diaz compositional Bernoulli numbers (B^sin)_3,n. 18
-1, -1, -11, -17, -563, -381, 55277, 242747, 406146379, 104180627, -398489682593, -169622229019, -6523856615663, -251077358513783, 35076901882951197, 2869253069531102351, 20717378005021857058651, 1335883610404565359777223, 27846976637614329871324177 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

Denominators are A132093. Numerators and denominators given only for even n (odd n have numerators = 0).

LINKS

Table of n, a(n) for n=1..19.

Hector Blandin and Rafael Diaz, Compositional Bernoulli numbers, Aug 06 2007, p. 8

FORMULA

(((x^3)/3!)/(sin(x)-x) = Sum_{n>=0} (B^sin)_3,n ((x^n)/n!).

MAPLE

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, May 25 2008

CROSSREFS

Cf. A132092-A132106.

Sequence in context: A286959 A146446 A228055 * A226258 A056705 A259744

Adjacent sequences:  A132089 A132090 A132091 * A132093 A132094 A132095

KEYWORD

frac,sign

AUTHOR

Jonathan Vos Post, Aug 09 2007

EXTENSIONS

More terms from R. J. Mathar, May 25 2008

STATUS

approved

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Last modified March 23 04:46 EDT 2019. Contains 321422 sequences. (Running on oeis4.)