A003199 - OEIS

%I M3331 #17 Feb 02 2022 23:56:56

%S 1,4,8,16,32,54,100,182,328,494,984,1572,2656,4212,8162,11176,21704,

%T 30994,60548

%N Cluster series for bond percolation problem on honeycomb.

%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/Ho#honeycomb">Index entries for sequences related to honeycomb</a>

%Y Cf. A003197 (hexagonal), A003198 (square), A003204 (site percolation).

%K nonn,more

%O 0,2

%A _N. J. A. Sloane_

%E Name clarified, a(15)-a(18) from Sykes & Glen added by _Andrey Zabolotskiy_, Feb 02 2022