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Search: id:A059713
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| A059713 |
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Number of multi-directed animals on the square lattice. |
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+0
1
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| 1, 2, 6, 19, 63, 214, 738, 2571, 9020, 31806, 112572, 399548, 1421145, 5063254, 18062902, 64505148, 230547424, 824547052, 2950565215, 10562978104
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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This class of animals is in bijection with a simple class of heaps of dimers. It generalizes directed animals.
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REFERENCES
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M. Bousquet-Melou and A. Rechnitzer, Lattice animals and heaps of dimers, Discrete Math. 258 (2002), no. 1-3, 235-274.
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LINKS
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M. Bousquet-Melou and A. Rechnitzer, Lattice animals and heaps of dimers
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FORMULA
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The generating function is known in closed form. Closed, but big. It is proved to be non-D-finite.
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CROSSREFS
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Directed animals: A005773.
Sequence in context: A026012 A120900 A059712 this_sequence A109262 A006724 A057409
Adjacent sequences: A059710 A059711 A059712 this_sequence A059714 A059715 A059716
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KEYWORD
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nonn
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AUTHOR
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Mireille Bousquet-Melou (bousquet(AT)labri.u-bordeaux.fr), Feb 08 2001
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