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A059713 Number of multi-directed animals on the square lattice. 0


%S 1,2,6,19,63,214,738,2571,9020,31806,112572,399548,1421145,5063254,

%T 18062902,64505148,230547424,824547052,2950565215,10562978104

%N Number of multi-directed animals on the square lattice.

%C This class of animals is in bijection with a simple class of heaps of dimers. It generalizes directed animals.

%D M. Bousquet-Mélou and A. Rechnitzer, Lattice animals and heaps of dimers, Discrete Math. 258 (2002), no. 1-3, 235-274.

%H M. Bousquet-Mélou and A. Rechnitzer, <a href="http://www.labri.fr/Perso/~bousquet/Articles/Klarner/article.ps.gz">Lattice animals and heaps of dimers</a>

%F The generating function is known in closed form. Closed, but big. It is proved to be non-D-finite.

%Y Directed animals: A005773.

%K nonn

%O 1,2

%A _Mireille Bousquet-Mélou_, Feb 08 2001

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Last modified December 8 12:28 EST 2021. Contains 349596 sequences. (Running on oeis4.)