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A007197
Number of n-node animals on b.c.c. lattice.
(Formerly M3963)
1
1, 5, 31, 209, 1476, 10739, 79780, 601905, 4595485, 35419710, 275109858, 2150537435, 16901814190, 133452123796, 1057920031536
OFFSET
1,2
COMMENTS
Let kappa(z) be as defined on p. 488 of Baxter, Enting & Tsang. Define rho(x) = z * d/dz (log(kappa(z))). Then the series for rho(z) is z-5z^2+31z^3-209z^4+1476z^5-10739z^6+-... -Steven Finch,Jan 20 2002
REFERENCES
R. J. Baxter, I. G. Enting and S. K. Tsang, Hard-square lattice gas, J. Stat. Phys. 22 (1980) 465-489
J.-G. Penaud, Arbres et Animaux. Ph.D. Dissertation, Université Bordeaux I, 1990.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
LINKS
I. Dutour,Animaux dirigés et approximations de séries génératrices,Mémoire de DEA, 1992, Université Bordeaux I.
Isabelle Dutour,Animaux dirigés et approximations de séries génératrices,Mémoire de DEA, 1992, Université Bordeaux I [Cached copy, no title pages, included with permission. Source for sequencesA006193,A007193-A007199]
KEYWORD
nonn,more
AUTHOR
STATUS
approved