A003212 Cluster series for diamond. (Formerly M3449)

1, 4, 12, 36, 108, 264, 708, 1668, 4536, 10926, 28416, 67824, 172464, 408484, 1035932

Offset

0,2

References

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).

Links

Table of n, a(n) for n=0..14.

M. F. Sykes and J. W. Essam, Critical percolation probabilities by series methods, Phys. Rev., 133 (1964), A310-A315.

M. F. Sykes, D. S. Gaunt and M. Glen, Percolation processes in three dimensions, J. Phys. A: Math. Gen., 9 (1976), 1705-1712.

Index entries for sequences related to diamond structure

Crossrefs

Cf. A003209 (f.c.c.), A003210 (b.c.c.), A003211 (simple cubic), A003208 (bond percolation).

Sequence in context: A171849 A199937 A290380 * A156945 A006817 A163315

Adjacent sequences: A003209 A003210 A003211 * A003213 A003214 A003215

Keyword

nonn,more

Author

N. J. A. Sloane

Extensions

a(11)-a(14) from Sykes, Gaunt & Glen added by Andrey Zabolotskiy, Feb 02 2022

Status

approved