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A006727
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Bond percolation series for square lattice.
(Formerly M1105)
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4
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1, 2, 4, 8, 15, 28, 50, 90, 156, 274, 466, 804, 1348, 2300, 3804, 6450, 10547, 17784, 28826, 48464, 77689, 130868, 207308, 350014, 548271, 931584, 1433966, 2469368, 3725257, 6510384, 9590838, 17192714, 24357702, 45428434, 61388268, 119938514, 152169019, 320596894, 366032458, 863591282, 863729021, 2341276788, 1916799026, 6556348906, 3755360368, 18610776960, 6082131438, 53874179752, 1495903344, 164440159702, -48816119038, 507516102724, -288652716240, 1605880660392, -1407950918758
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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REFERENCES
| J. W. Essam et al., Analysis of extended series for bond percolation on the directed square lattice, Phys. Rev. B 33 (1986), 1982-1986.
J. W. Essam, A. J. Guttmann and K. De'Bell, On two-dimensional directed percolation, J. Phys. A 21 (1988), 3815-3832.
Jensen, Iwan; Guttmann, Anthony J.; Series expansions of the percolation probability for directed square and honeycomb lattices. J. Phys. A 28 (1995), no. 17, 4813-4833.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
| I. Jensen, Table of n, a(n) for n = 0..171 (from link below)
I. G. Enting, A, J. Guttmann and I. Jensen, Low-Temperature Series Expansions for the Spin-1 Ising Model, J. Phys. A. 27 (1994) 6987-7006.
I. Jensen, More terms
J. Blease, Series expansions for the directed-bond percolation problem, J. Phys C vol 10 no 7 (1977), 917-924.
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CROSSREFS
| Sequence in context: A196723 A036615 A006808 * A182725 A029907 A005682
Adjacent sequences: A006724 A006725 A006726 * A006728 A006729 A006730
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KEYWORD
| sign,nice
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Simon Plouffe (simon.plouffe(AT)gmail.com)
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