A035908 Coordination sequence for diamond structure D^+_64. (Edges defined by l_1 norm = 1.)

1, 0, 8192, 0, 11190272, 0, 6123315200, 0, 1799375912960, 0, 330122643283968, 0, 41474426978451456, 0, 3799040291725172736, 0, 265525958014053580800, 0, 14658590810928715735040, 0, 656823409555679115329536, 0, 24419567601184961681907712, 0, 767124041999543604847869952, 0

Offset

0,3

References

J. Serra-Sagrista, Enumeration of lattice points in l_1 norm, Information Processing Letters, 76, no. 1-2 (2000), 39-44.

Links

Georg Fischer, Table of n, a(n) for n = 0..200

J. H. Conway and N. J. A. Sloane, Low-Dimensional Lattices VII: Coordination Sequences, Proc. Royal Soc. London, A453 (1997), 2369-2389 (pdf).

Maple

f := proc(m) local k, t1; t1 := 2^(n-1)*binomial((n+2*m)/2-1, n-1); if m mod 2 = 0 then t1 := t1+add(2^k*binomial(n, k)*binomial(m-1, k-1), k=0..n); fi; t1; end; where n=64.

Crossrefs

Sequence in context: A069414 A289477 A222527 * A069274 A220585 A305756

Adjacent sequences: A035905 A035906 A035907 * A035909 A035910 A035911

Keyword

nonn

Author

Joan Serra-Sagrista (jserra(AT)ccd.uab.es)

Extensions

Recomputed by N. J. A. Sloane, Nov 27 1998

Zeroes inserted by Georg Fischer, Jul 26 2020

Status

approved