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A059713 Number of multi-directed animals on the square lattice. 0
1, 2, 6, 19, 63, 214, 738, 2571, 9020, 31806, 112572, 399548, 1421145, 5063254, 18062902, 64505148, 230547424, 824547052, 2950565215, 10562978104 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

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

REFERENCES

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

LINKS

Table of n, a(n) for n=1..20.

M. Bousquet-Mélou and A. Rechnitzer, Lattice animals and heaps of dimers

FORMULA

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

CROSSREFS

Directed animals: A005773.

Sequence in context: A120900 A284216 A059712 * A109262 A006724 A057409

Adjacent sequences:  A059710 A059711 A059712 * A059714 A059715 A059716

KEYWORD

nonn

AUTHOR

Mireille Bousquet-Mélou, Feb 08 2001

STATUS

approved

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Last modified October 21 16:25 EDT 2019. Contains 328302 sequences. (Running on oeis4.)