Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%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