A008368 Number of orbits on points that are at n steps from the origin in the f.c.c. lattice.

1, 1, 3, 4, 7, 8, 13, 14, 20, 22, 29, 31, 40

Offset: 0

Author

N. J. A. Sloane and J. H. Conway

Keywords

• nonn
• more

Links

• J. H. Conway and N. J. A. Sloane, Low-Dimensional Lattices VII: Coordination Sequences, Proc. Royal Soc. London, A453 (1997), 2369-2389 (pdf).
• Index entries for sequences related to f.c.c. lattice

Crossrefs

Cf. A023054.

Formula

G.f. is conjectured to be (1-x^5)/((1-x)*(1-x^2)^2*(1-x^3)) (a conjecture of Simon Plouffe, see A023054).