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

%I

%S 1,11,74,396,1859,8033,32827,128969,492302,1838836,6753760,24476710,

%T 87754722,311834270,1099874777

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

%H S. Kitaev, J. Remmel and M. Tiefenbruck, <a href="http://arxiv.org/abs/1201.6243">Marked mesh patterns in 132-avoiding permutations I</a>, arXiv preprint arXiv:1201.6243, 2012

%t 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 *)

%K nonn

%O 6,2

%A _Robert Price_, Jun 06 2012

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Last modified January 24 07:45 EST 2021. Contains 340398 sequences. (Running on oeis4.)