A213165 Sequence of coefficients of x in marked mesh pattern generating function Q_{n,132}^(5,0,-,0)(x).

1, 11, 74, 396, 1859, 8033, 32827, 128969, 492302, 1838836, 6753760, 24476710, 87754722, 311834270, 1099874777

Offset

6,2

Links

Table of n, a(n) for n=6..20.

S. Kitaev, J. Remmel and M. Tiefenbruck, Marked mesh patterns in 132-avoiding permutations I, arXiv preprint arXiv:1201.6243, 2012

Mathematica

CCC[t] = (1 - (1 - 4*t)^(1/2))/(2*t); NQ0[t, x] = ((1 + t - t*x) - ((1 + t - t*x)^2 - 4*t)^(1/2))/(2*t); NQ1[t, x] = 1/(1 - t*NQ0[t, x]); NQ2[t, x] = 1/(1 - t*NQ1[t, x]); NQ3[t, x] = 1/(1 - t*NQ2[t, x]); NQ4[t, x] = 1/(1 - t*NQ3[t, x]); NQ5[t, x] = 1/(1 - t*NQ4[t, x]); CoefficientList[Coefficient[Simplify[Series[NQ5[t, x], {t, 0, 20}]], x], t]  (* Robert Price, Jun 06 2012 *)

Crossrefs

Sequence in context: A335828 A003367 A121784 * A044198 A044579 A231917

Adjacent sequences: A213162 A213163 A213164 * A213166 A213167 A213168

Keyword

nonn

Author

Robert Price, Jun 06 2012

Status

approved