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Numerators of Blandin-Diaz compositional Bernoulli numbers C_2,n.
3

%I #15 Jan 24 2024 12:18:47

%S 0,1,-2,5,-68,193,-655,19349,-57736,520343,-43184789,366043159,

%T -36085302154,219183008719,-333043820161,1124780733391,

%U -2033896175720464,6178608669563333,-106918567902798017,178383998798531120359,-54061775649488096702,2291400664110090118501,-56920102349900658177643

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

%H Hector Blandin and Rafael Diaz, <a href="https://arxiv.org/abs/0708.0809">Compositional Bernoulli numbers</a>, arXiv:0708.0809 [math.CO], 2007-2008, p. 14, first table.

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

%o (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

%Y Denominators are A133005.

%Y Cf. A132092-A132099.

%K frac,sign

%O 0,3

%A _Jonathan Vos Post_, Aug 09 2007

%E More terms from _Michel Marcus_, Jan 24 2024