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A247639 Dimensions of algebraic generators of combinatorial Hopf algebra H(Heap_2). 0
1, 5, 31, 210, 1488, 10826, 80111, 599671, 4525573, 34357725, 262011295, 2004962487, 15383479300 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..12.

J.-P. Bultel, S. Giraudo, Combinatorial Hopf algebras from PROs, arXiv preprint arXiv:1406.6903 [math.CO], 2014-2016. [DOI]

MATHEMATICA

terms = 11;

c[g_, t_] := c[g, t] = Sum[c[g, n, t], {n, 0, 3 terms}];

c[g_, n_, t_] := c[g, n, t] = P[g, n, t] - Sum[c[g, k, t] P[g, n-k-1, t], {k, 0, n - 1}];

P[g_, n_, t_] := 1/F[g, n, t];

F[g_, n_, t_] := F[g, n, t] = If[n<=g, 1, F[g, n-1, t] - t F[g, n-g-1, t]];

Rest[CoefficientList[1 - 1/c[2, t] + O[t]^(terms + 1), t]][[1 ;; terms]] (* Jean-François Alcover, Jul 25 2018 *)

CROSSREFS

Sequence in context: A337928 A178792 A007197 * A002649 A104091 A153292

Adjacent sequences: A247636 A247637 A247638 * A247640 A247641 A247642

KEYWORD

nonn,more

AUTHOR

N. J. A. Sloane, Sep 21 2014

EXTENSIONS

a(12)-a(13) from Robert G. Wilson v, Jul 25 2018

STATUS

approved

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Last modified February 7 02:40 EST 2023. Contains 360111 sequences. (Running on oeis4.)