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Search: id:A059715
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| A059715 |
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Number of multi-directed animals on the triangular lattice. |
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+0
1
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| 1, 3, 11, 44, 184, 790, 3450, 15242, 67895, 304267, 1369761, 6188002, 28031111, 127253141, 578694237, 2635356807, 12015117401, 54831125131, 250418753498, 1144434017309
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Counts certain animals that generalize directed animals. They are also equinumerous with a class of n-ominoes studied by Klarner in 1967.
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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.
D. A. Klarner, Cell growth problems, Canad. J. Math. 19 (1967) 851-863.
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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. It is big and non-D-finite.
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CROSSREFS
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Cf. A005773.
Sequence in context: A149073 A167011 A059714 this_sequence A026748 A113174 A132840
Adjacent sequences: A059712 A059713 A059714 this_sequence A059716 A059717 A059718
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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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