|
%I M4192 #26 Feb 02 2022 04:31:00
%S 1,6,30,114,438,1542,5754,19574,71958,233574,870666,2696274,10375770,
%T 30198116,122634404,327024444,1460721616,3347244554,17795165832
%N Cluster series for cubic 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 John Adler, <a href="https://doi.org/10.1063/1.168493">Series Expansions</a>, Computers in Physics, 8 (1994), 287-295.
%H S. Luther and S. Mertens, <a href="https://doi.org/10.1088/1742-5468/2011/09/P09026">Counting lattice animals in high dimensions</a>, Journal of Statistical Mechanics: Theory and Experiment, 2011 (9), 546-565; arXiv:<a href="https://arxiv.org/abs/1106.1078">1106.1078</a> [cond-mat.stat-mech], 2011. See Table 5.
%H Stephan Mertens, <a href="https://wasd.urz.uni-magdeburg.de/mertens/research/animals/">Lattice Animals</a>
%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. A003209 (f.c.c.), A003210 (b.c.c.), A003212 (diamond), A003207 (bond percolation).
%K nonn,more
%O 0,2
%A _N. J. A. Sloane_
%E a(9)-a(12) from _Sean A. Irvine_, Aug 19 2020
%E a(13)-a(18) from Luther & Mertens added by _Andrey Zabolotskiy_, Feb 02 2022
|
