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Number of directed, diagonally convex polyominoes with n cells.
0

%I #3 Mar 31 2012 21:03:39

%S 1,0,3,10,33,106,331,1009,3017,8884,25841,74416,212533,602785,1699503,

%T 4767166,13312641,37031254,102651967,283676689,781763381,2149017256,

%U 5894114513,16132400860,44071485673,120188174401,327242994651

%N Number of directed, diagonally convex polyominoes with n cells.

%D Fouad Ibn-Majdoub-Hassani. Combinatoire de polyominos et des tableaux decales oscillants. These de Doctorat, Laboratoire de Recherche en Informatique, Universite Paris-Sud XI, France.

%F G.f.: (x*(1-4*x+6*x^2-3*x^3+x^4))/((1-x)*(1-3*x+x^2)^2)

%t Join[{1, 0}, Take[CoefficientList[Series[(q*(1 - 4*q + 6*q^2 - 3*q^3 + q^4))/((1 - q)*(1 - 3*q + q^2)^2), {q, 0, 27}], q], -26]]

%K nonn,easy

%O 1,3

%A _Fouad IBN MAJDOUB HASSANI_, Apr 14 2003

%E More terms from _Robert G. Wilson v_, Apr 15 2003