A220435 Denominators of reduced coefficients in expansion of e.g.f. for operads for alia algebras.

1, 1, 1, 6, 6, 12, 9, 18, 72, 1296, 1296, 2592, 1944, 3888, 1944, 11664, 93312, 186624, 1679616, 3359232, 3359232, 20155392, 1259712, 2519424, 30233088, 60466176, 60466176, 3265173504, 1632586752, 3265173504, 4897760256, 9795520512, 156728328192, 940369969152, 940369969152

Offset

0,4

Links

Table of n, a(n) for n=0..34.

Anton Khoroshkin and Dmitri Piontkovski, On generating series of finitely presented operads, Journal of Algebra, Vol. 426 (2015), pp. 377-429; arXiv preprint, arXiv:1202.5170 [math.QA], 2012-2014. See Prop. 3.5.2.

Formula

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

Mathematica

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

Crossrefs

Cf. A220433, A220434 (numerators).

Sequence in context: A247513 A124508 A028317 * A340512 A338992 A055665

Adjacent sequences: A220432 A220433 A220434 * A220436 A220437 A220438

Keyword

nonn,frac

Author

N. J. A. Sloane, Dec 16 2012

Extensions

a(0) and more terms added by Amiram Eldar, May 03 2024

Status

approved