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A008368 Number of orbits on points that are at n steps from the origin in the f.c.c. lattice. 1

%I #16 Oct 09 2016 09:34:16

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

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

%H J. H. Conway and N. J. A. Sloane, Low-Dimensional Lattices VII: Coordination Sequences, Proc. Royal Soc. London, A453 (1997), 2369-2389 (<a href="http://neilsloane.com/doc/Me220.pdf">pdf</a>).

%H <a href="/index/Fa#fcc">Index entries for sequences related to f.c.c. lattice</a>

%F 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).

%Y Cf. A023054.

%K nonn,more

%O 0,3

%A _N. J. A. Sloane_ and _J. H. Conway_

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Last modified April 18 20:26 EDT 2024. Contains 371781 sequences. (Running on oeis4.)