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Search: id:A007197
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| A007197 |
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Number of n-node animals on b.c.c. lattice.
(Formerly M3963)
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+0
1
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| 1, 5, 31, 209, 1476, 10739, 79780, 601905, 4595485, 35419710, 275109858, 2150537435, 16901814190, 133452123796, 1057920031536
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Let kappa(z) be as defined on p. 488 of Baxter, Enting & Tsang. Define rho(x) = z * d/dz (ln(kappa(z))). Then the series for rho(z) is z-5z^2+31z^3-209z^4+1476z^5-10739z^6+-... - S. R. Finch (Steven.Finch(AT)inria.fr), Jan 20 2002
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
J.-G. Penaud, Arbres et Animaux. Ph.D. Dissertation, Universit\'{e} Bordeaux I, 1990.
R. J. Baxter, I. G. Enting and S. K. Tsang, Hard-square lattice gas, J. Stat. Phys. 22 (1980) 465-489
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LINKS
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I. Dutour, Animaux dirig\'{e}s et approximations de s\'{e}ries g\'{e}n\'{e}ratrices, M\'{e}moire de DEA, 1992, Universit\'{e} Bordeaux I.
Index entries for sequences related to b.c.c. lattice
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CROSSREFS
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Sequence in context: A084235 A002469 A092636 this_sequence A002649 A104091 A153292
Adjacent sequences: A007194 A007195 A007196 this_sequence A007198 A007199 A007200
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KEYWORD
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nonn
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AUTHOR
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Simon Plouffe (simon.plouffe(AT)gmail.com)
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