A337017 - OEIS

%I #38 Nov 02 2023 15:33:16

%S 1,2,11,101,1299,21484,434314,10376729,286071990,8938291341,

%T 312135301719,12047590514805,509293851897726,23401874856236304,

%U 1161336388899131127,61901441822863881546,3527021361619029580257,213928376892075892765515,13762058997632221202813013

%N a(n) is the dimension of the Lie-admissible operad of degree n.

%C The e.g.f. is well-known as the operad LieAdm is Koszul with a simple Koszul dual operad. - _F. Chapoton_, Nov 02 2023

%H Murray Bremner and Vladimir Dotsenko, <a href="https://arxiv.org/abs/2203.11142">Associator dependent algebras and Koszul duality</a>, arXiv:2203.11142 [math.RA], 2022.

%H Bauyrzhan Sartayev, <a href="https://arxiv.org/abs/2011.02954">Free product of operads and free basis of Lie-admissible operad</a>, arXiv:2011.02954 [math.RA], 2020. See p. 12.

%F E.g.f.: Series_Reversion(1-x^2/2-exp(-x)). - _Jean-François Alcover_, Feb 01 2021

%o (PARI) my(x='x+O('x^25)); Vec(serlaplace(serreverse(1-x^2/2-exp(-x)))) \\ _Michel Marcus_, Nov 02 2023

%K nonn

%O 1,2

%A _Sartayev Bauyrzhan_, Nov 21 2020

%E More terms from _Alois P. Heinz_, Nov 02 2023