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A212341 Sequence of coefficients of x in marked mesh pattern generating function Q_{n,132}^(0,0,4,0)(x). 0
14, 56, 188, 603, 1907, 5615, 15968, 44464, 121693, 326937, 866104, 2268739, 5884632, 15127516, 38589364, 97776517, 246248849, 616795067, 1537351460, 3814809145, 9427784176, 23213028624, 56960216422, 139330244662, 339825250768, 826596931346 (list; graph; refs; listen; history; text; internal format)
OFFSET
5,1
LINKS
S. Kitaev, J. Remmel and M. Tiefenbruck, Marked mesh patterns in 132-avoiding permutations I, arXiv preprint arXiv:1201.6243, 2012
FORMULA
Empirical g.f.: -x^5*(25*x^3+20*x^2+14*x+14) / (5*x^4+2*x^3+x^2+x-1)^3. - Colin Barker, Jul 22 2013
MATHEMATICA
QQQ4[t, x] = 2/(1+(t*x-t)*(1+t+2*t^2+5*t^3)+((1+(t*x-t)*(1+t+2*t^2+5*t^3))^2-4*t*x)^(1/2)); CoefficientList[Coefficient[Series[QQQ4[t, x], {t, 0, 22}], x], t] (* Robert Price, Jun 05 2012 *)
CROSSREFS
Sequence in context: A212347 A115129 A281200 * A067326 A202242 A041374
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, May 09 2012
EXTENSIONS
a(10)-a(22) from Robert Price, Jun 04 2012
STATUS
approved

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Last modified February 26 12:54 EST 2024. Contains 370352 sequences. (Running on oeis4.)