OFFSET
0,3
COMMENTS
LINKS
Olivier Bodini, Matthieu Dien, Antoine Genitrini, and Alfredo Viola, Beyond series-parallel concurrent systems: the case of arch processes, arXiv:1803.00843 [cs.DM], 2018.
Murray Bremner and Vladimir Dotsenko, Associator dependent algebras and Koszul duality, Annali di Matematica Pura ed Applicata, Vol. 202, No. 3 (2023), pp. 1233-1254; arXiv preprint, arXiv:2203.11142 [math.RA], 2022.
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
Conjecture: D-finite with recurrence 4*a(n) +6*(-2*n+3)*a(n-1) -(3*n-5)*(3*n-7)*a(n-2)=0. - R. J. Mathar, Feb 27 2023
E.g.f.: series reversion of t-t^2+1/6*t^3. - Paul Laubie, Nov 07 2023
MATHEMATICA
With[{m = 19}, CoefficientList[InverseSeries[Series[x^3/6 - x^2 + x, {x, 0, m}]], x] * Range[0, m]!] (* Amiram Eldar, May 03 2024 *)
PROG
(PARI) lista(m) = {A = z + O(z); for (n= 1, m, A = z + A^2 - A^3/6; ); for (n=0, m, print1(n!*polcoeff(A, n, z), ", ")); } \\ Michel Marcus, Feb 12 2013
(PARI) concat([0], Vec( serlaplace( serreverse( t-t^2+1/6*t^3+O(t^22) ) ) ) ) \\ Joerg Arndt, Nov 08 2023
CROSSREFS
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Dec 16 2012
EXTENSIONS
More terms from Michel Marcus, Feb 12 2013
STATUS
approved