A133004 Numerators of Blandin-Diaz compositional Bernoulli numbers C_2,n.

0, 1, -2, 5, -68, 193, -655, 19349, -57736, 520343, -43184789, 366043159, -36085302154, 219183008719, -333043820161, 1124780733391, -2033896175720464, 6178608669563333, -106918567902798017, 178383998798531120359, -54061775649488096702, 2291400664110090118501, -56920102349900658177643

Offset

0,3

Links

Table of n, a(n) for n=0..22.

Hector Blandin and Rafael Diaz, Compositional Bernoulli numbers, arXiv:0708.0809 [math.CO], 2007-2008, p. 14, first table.

Example

0, 1, -23, 56, -68/45, 193/54, -655/63, 19349/540, -57736/405, 520343/810.

Prog

(PARI) my(x='x+O('x^30)); apply(numerator, concat(0, Vec(serlaplace(serreverse(2*(exp(x)-1-x)/x))))) \\ Michel Marcus, Jan 24 2024

Crossrefs

Denominators are A133005.

Cf. A132092-A132099.

Sequence in context: A246280 A333165 A374674 * A321602 A175169 A375973

Adjacent sequences: A133001 A133002 A133003 * A133005 A133006 A133007

Keyword

frac,sign

Author

Jonathan Vos Post, Aug 09 2007

Extensions

More terms from Michel Marcus, Jan 24 2024

Status

approved