A006727 Bond percolation series for square lattice. (Formerly M1105)

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

Offset

0,2

References

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

I. Jensen, Table of n, a(n) for n = 0..171 (from link below)

J. Blease, Series expansions for the directed-bond percolation problem, J. Phys C vol 10 no 7 (1977), 917-924.

I. G. Enting, A, J. Guttmann and I. Jensen, Low-Temperature Series Expansions for the Spin-1 Ising Model, arXiv:hep-lat/9410005, 1994; J. Phys. A. 27 (1994) 6987-7006.

J. W. Essam, A. J. Guttmann and K. De'Bell, On two-dimensional directed percolation, J. Phys. A 21 (1988), 3815-3832.

J. W. Essam et al., Analysis of extended series for bond percolation on the directed square lattice, Phys. Rev. B 33 (1986), 1982-1986.

I. Jensen, More terms [Archived website]

Iwan Jensen, Anthony J. Guttmann, Series expansions of the percolation probability for directed square and honeycomb lattices, arXiv:cond-mat/9509121, 1995; J. Phys. A 28 (1995), no. 17, 4813-4833.

Crossrefs

Sequence in context: A196723 A036615 A006808 * A007673 A182725 A334635

Adjacent sequences: A006724 A006725 A006726 * A006728 A006729 A006730

Keyword

sign,nice

Author

N. J. A. Sloane, Simon Plouffe

Status

approved