A006810 Bond percolation series for mean cluster size on directed cubic lattice. (Formerly M2805)

1, 3, 9, 27, 78, 225, 633, 1785, 4944, 13742, 37686, 103767, 282425, 772719

Offset

0,2

References

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

Links

Table of n, a(n) for n=0..13.

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

K. De'Bell and J. W. Essam, Directed percolation: series expansion for some three-dimensional lattices, J. Phys. A: Math. Gen., 16 (1983), 3553-3560.

Crossrefs

Cf. different directed lattices: A006727 (square), A006809 (hexagonal), A006813 (hexagonal cyclic), A006811 (b.c.c.), A006812 (f.c.c.).

Cf. A006804 (percolation probability).

Sequence in context: A241574 A268013 A269613 * A090401 A181137 A113041

Adjacent sequences: A006807 A006808 A006809 * A006811 A006812 A006813

Keyword

nonn,more

Author

N. J. A. Sloane

Extensions

Name clarified and terms a(0), a(9)-a(13) added from De'Bell & Essam by Andrey Zabolotskiy, May 11 2023

Status

approved