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Search: id:A055907
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| A055907 |
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Triangle: number of directed site animals on a hexagonal lattice with n total sites and k sites supported in one particular way. |
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+0
11
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| 0, 1, 1, 1, 2, 1, 1, 4, 4, 1, 1, 6, 10, 6, 1, 1, 9, 21, 20, 8, 1, 1, 12, 39, 53, 36, 10, 1, 1, 16, 67, 121, 128, 56, 12, 1, 1, 20, 107, 249, 388, 240, 74, 14, 1, 1, 25, 163, 471, 1050, 854, 331, 100, 16, 1, 1, 30, 238, 836, 2601, 2654, 1212, 511, 130, 18, 1, 1, 36, 337
(list; table; graph; listen)
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OFFSET
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0,5
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LINKS
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A. J. Guttmann, Indicators of solvability for lattice models, Discrete Math., 217 (2000), 167-189 (A_h of Section 6).
A. J. Guttmann and A. R. Conway, Hexagonal lattice directed site animals, Statistical Physics on the Eve of the Twenty-First Century, ed. M. T. Batchelor, World Scientific, 1999 (F_h of Section 4).
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EXAMPLE
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0; 1,1; 1,2,1; 1,4,4,1; 1,6,11,6,1; ...
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CROSSREFS
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Row sums give A055919. Columns 1-9: A002620(n+1), A055908-A055915. Cf. A055898.
Sequence in context: A147532 A132731 A128966 this_sequence A096806 A116672 A128562
Adjacent sequences: A055904 A055905 A055906 this_sequence A055908 A055909 A055910
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KEYWORD
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nonn,tabl
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AUTHOR
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Christian G. Bower (bowerc(AT)usa.net), Jun 14 2000
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