A337017 a(n) is the dimension of the Lie-admissible operad of degree n.

1, 2, 11, 101, 1299, 21484, 434314, 10376729, 286071990, 8938291341, 312135301719, 12047590514805, 509293851897726, 23401874856236304, 1161336388899131127, 61901441822863881546, 3527021361619029580257, 213928376892075892765515, 13762058997632221202813013

Offset

1,2

Comments

The e.g.f. is well-known as the operad LieAdm is Koszul with a simple Koszul dual operad. - F. Chapoton, Nov 02 2023

Links

Table of n, a(n) for n=1..19.

Murray Bremner and Vladimir Dotsenko, Associator dependent algebras and Koszul duality, arXiv:2203.11142 [math.RA], 2022.

Bauyrzhan Sartayev, Free product of operads and free basis of Lie-admissible operad, arXiv:2011.02954 [math.RA], 2020. See p. 12.

Formula

E.g.f.: Series_Reversion(1-x^2/2-exp(-x)). - Jean-François Alcover, Feb 01 2021

Prog

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

Crossrefs

Sequence in context: A069663 A241100 A374350 * A121419 A099701 A089393

Adjacent sequences: A337014 A337015 A337016 * A337018 A337019 A337020

Keyword

nonn

Author

Sartayev Bauyrzhan, Nov 21 2020

Extensions

More terms from Alois P. Heinz, Nov 02 2023

Status

approved