Original entry on oeis.org
12, 66, 312, 1368, 5685
Offset: 1
A003201
Cluster series for site percolation problem on square matching lattice (square lattice with 1st and 2nd neighbors connected).
Original entry on oeis.org
1, 8, 32, 108, 348, 1068, 3180, 9216, 26452, 73708, 206872, 563200, 1555460, 4124568, 11450284
Offset: 0
- 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.
- N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
- S. Mertens, Lattice animals: a fast enumeration algorithm and new perimeter polynomials, J. Stat. Phys. 58 (1990) 1095-1108 (Table II, column nnSquare).
- M. F. Sykes and J. W. Essam, Critical percolation probabilities by series methods, Phys. Rev., 133 (1964), A310-A315.
- M. F. Sykes and Sylvia Flesia, Lattice animals: Supplementation of perimeter polynomial data by graph-theoretic methods, Journal of Statistical Physics, 63 (1991), 487-489.
- Index entries for sequences related to cluster series.
Cf. cluster series for site percolation problem:
A003200,
A003202,
A003203,
A003204,
A003209,
A003210,
A003211,
A003212,
A036392,
A036394-
A036402 and for bond percolation problem:
A003197,
A003198,
A003199,
A003205,
A003206,
A003207,
A003208.
A036402
Coefficients of cluster series for site percolation problem on simple cubic lattice with 1st, 2nd and 3rd neighbor bonds.
Original entry on oeis.org
1, 26, 386, 4886, 59534
Offset: 0
- 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.
A036392
Coefficients of cluster series for site percolation problem on triangular lattice with 1st and 2nd neighbor bonds.
Original entry on oeis.org
1, 12, 72, 342, 1632, 6780
Offset: 0
- 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.
A036394
Coefficients of cluster series for site percolation problem on f.c.c. lattice with 1st and 2nd neighbor bonds.
Original entry on oeis.org
1, 18, 186, 1710, 14862, 124950
Offset: 0
- 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.
A036396
Coefficients of cluster series for site percolation problem on simple cubic lattice with 1st and 2nd neighbor bonds.
Original entry on oeis.org
1, 18, 186, 1638, 14398, 117744
Offset: 0
- 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.
A036395
Coefficients of cluster series for site percolation problem on b.c.c. lattice with 1st and 2nd neighbor bonds.
Original entry on oeis.org
1, 14, 110, 758, 5150, 32882
Offset: 0
- 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.
A036397
Coefficients of cluster series for site percolation problem on triangular lattice with 1st, 2nd and 3rd neighbor bonds.
Original entry on oeis.org
1, 18, 144, 966, 6042
Offset: 0
- 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.
A036398
Coefficients of cluster series for site percolation problem on square lattice with 1st, 2nd and 3rd neighbor bonds.
Original entry on oeis.org
1, 12, 72, 360, 1644
Offset: 0
- 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.
A036400
Coefficients of cluster series for site percolation problem on f.c.c. lattice with 1st, 2nd and 3rd neighbor bonds.
Original entry on oeis.org
1, 42, 978, 19710
Offset: 0
- 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.
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