A003208 - OEIS

%I M4122 #18 Feb 02 2022 09:00:19

%S 1,6,18,54,162,456,1302,3630,10158,27648,77022,206508,570072,1521822

%N Cluster series for bond percolation problem on diamond.

%D J. W. Essam, Percolation and cluster size, in C. Domb and M. S. Green, Phase Transitions and Critical Phenomena, Ac. Press 1972, Vol. 2; see especially pp. 225-226.

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

%H M. F. Sykes and J. W. Essam, <a href="https://doi.org/10.1103/PhysRev.133.A310">Critical percolation probabilities by series methods</a>, Phys. Rev., 133 (1964), A310-A315.

%H M. F. Sykes, D. S. Gaunt and M. Glen, <a href="https://doi.org/10.1088/0305-4470/9/10/021">Percolation processes in three dimensions</a>, J. Phys. A: Math. Gen., 9 (1976), 1705-1712.

%H <a href="/index/Di#diamond">Index entries for sequences related to diamond structure</a>

%Y Cf. A003205 (f.c.c.), A003206 (b.c.c.), A003207 (simple cubic), A003212 (site percolation).

%K nonn,more

%O 0,2

%A _N. J. A. Sloane_

%E Name clarified, a(12)-a(13) from Sykes, Gaunt & Glen added by _Andrey Zabolotskiy_, Feb 02 2022