%I M4118 #17 Feb 02 2022 23:56:51
%S 1,6,18,48,126,300,762,1668,4216,8668,21988,43058,110832,202432,561020
%N Cluster series for bond percolation problem on square lattice.
%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 and M. Glen, <a href="https://doi.org/10.1088/0305-4470/9/1/014">Percolation processes in two dimensions. I. Low-density series expansions</a>, J. Phys. A: Math. Gen., 9 (1976), 87-95.
%H <a href="/index/Sq#sqlatt">Index entries for sequences related to square lattice</a>
%Y Cf. A003197 (hexagonal), A003199 (honeycomb), A003207 (cubic), A003203 (site percolation).
%K nonn,more
%O 0,2
%A _N. J. A. Sloane_
%E Name clarified, a(12)-a(14) from Sykes & Glen added by _Andrey Zabolotskiy_, Feb 02 2022