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A007197 Number of n-node animals on b.c.c. lattice.
(Formerly M3963)
1

%I M3963 #24 Oct 15 2018 12:05:46

%S 1,5,31,209,1476,10739,79780,601905,4595485,35419710,275109858,

%T 2150537435,16901814190,133452123796,1057920031536

%N Number of n-node animals on b.c.c. lattice.

%C 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

%D R. J. Baxter, I. G. Enting and S. K. Tsang, Hard-square lattice gas, J. Stat. Phys. 22 (1980) 465-489

%D J.-G. Penaud, Arbres et Animaux. Ph.D. Dissertation, Université Bordeaux I, 1990.

%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

%H I. Dutour, <a href="http://www.labri.fr/~dutour/Publis/DEA_Dutour.html">Animaux dirigés et approximations de séries génératrices</a>, Mémoire de DEA, 1992, Université Bordeaux I.

%H Isabelle Dutour, <a href="/A007193/a007193.pdf">Animaux dirigés et approximations de séries génératrices</a>, Mémoire de DEA, 1992, Université Bordeaux I [Cached copy, no title pages, included with permission. Source for sequences A006193, A007193-A007199]

%H <a href="/index/Ba#bcc">Index entries for sequences related to b.c.c. lattice</a>

%K nonn,more

%O 1,2

%A _Simon Plouffe_

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Last modified April 24 14:32 EDT 2024. Contains 371960 sequences. (Running on oeis4.)