%I M4848 #20 Apr 13 2023 11:42:31
%S 1,12,66,312,1368,5685,23034,90288,350124
%N Cluster series for site percolation problem on honeycomb matching lattice (honeycomb structure with 1st, 2nd and 3rd neighbors connected).
%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 Keith Malcolm Gwilym, <a href="https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.704220">Theory of percolation processes</a>, PhD Thesis, University of London, 1972. See Table 3.1 on p. 55.
%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.
%Y Cf. cluster series for site percolation problem: A003201, A003202, A003203, A003204, A003209, A003210, A003211, A003212, A036392, A036394, A036395, A036396, A036397, A036398, A036400, A036401, A036402 and for bond percolation problem: A003197, A003198, A003199, A003205, A003206, A003207, A003208.
%K nonn,more
%O 0,2
%A _N. J. A. Sloane_
%E Name clarified by _Andrey Zabolotskiy_, Mar 04 2021
%E a(6)-a(8) from Gwilym added by _Andrey Zabolotskiy_, Apr 13 2023