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Denominators of reduced coefficients in expansion of e.g.f. for operads for alia algebras.
2

%I #15 May 03 2024 04:18:57

%S 1,1,1,6,6,12,9,18,72,1296,1296,2592,1944,3888,1944,11664,93312,

%T 186624,1679616,3359232,3359232,20155392,1259712,2519424,30233088,

%U 60466176,60466176,3265173504,1632586752,3265173504,4897760256,9795520512,156728328192,940369969152,940369969152

%N Denominators of reduced coefficients in expansion of e.g.f. for operads for alia algebras.

%H Anton Khoroshkin and Dmitri Piontkovski, <a href="https://doi.org/10.1016/j.jalgebra.2014.12.012">On generating series of finitely presented operads</a>, Journal of Algebra, Vol. 426 (2015), pp. 377-429; <a href="https://arxiv.org/abs/1202.5170">arXiv preprint</a>, arXiv:1202.5170 [math.QA], 2012-2014. See Prop. 3.5.2.

%F Denominators of the rational sequence whose g.f. is the series reversion of x^3/6 - x^2 + x. - _Amiram Eldar_, May 03 2024

%t Denominator[CoefficientList[InverseSeries[Series[x^3/6 - x^2 + x, {x, 0, 35}]], x]] (* _Amiram Eldar_, May 03 2024 *)

%Y Cf. A220433, A220434 (numerators).

%K nonn,frac

%O 0,4

%A _N. J. A. Sloane_, Dec 16 2012

%E a(0) and more terms added by _Amiram Eldar_, May 03 2024