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%I M2805 #17 May 12 2023 09:09:34
%S 1,3,9,27,78,225,633,1785,4944,13742,37686,103767,282425,772719
%N Bond percolation series for mean cluster size on directed cubic lattice.
%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H J. Blease, <a href="https://doi.org/10.1088/0022-3719/10/7/003">Series expansions for the directed-bond percolation problem</a>, J. Phys C vol 10 no 7 (1977), 917-924.
%H K. De'Bell and J. W. Essam, <a href="https://doi.org/10.1088/0305-4470/16/15/020">Directed percolation: series expansion for some three-dimensional lattices</a>, J. Phys. A: Math. Gen., 16 (1983), 3553-3560.
%Y Cf. different directed lattices: A006727 (square), A006809 (hexagonal), A006813 (hexagonal cyclic), A006811 (b.c.c.), A006812 (f.c.c.).
%Y Cf. A006804 (percolation probability).
%K nonn,more
%O 0,2
%A _N. J. A. Sloane_
%E Name clarified and terms a(0), a(9)-a(13) added from De'Bell & Essam by _Andrey Zabolotskiy_, May 11 2023
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