A007197 Number of n-node animals on b.c.c. lattice. (Formerly M3963)

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

Table of n, a(n) for n=1..15.

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 sequences A006193, A007193-A007199]

Index entries for sequences related to b.c.c. lattice

Crossrefs

Sequence in context: A092636 A337928 A178792 * A247639 A002649 A104091

Adjacent sequences: A007194 A007195 A007196 * A007198 A007199 A007200

Keyword

nonn,more

Author

Simon Plouffe

Status

approved