A035888 Coordination sequence for diamond structure D^+_24. (Edges defined by l_1 norm = 1.)

1, 0, 1152, 0, 221952, 0, 17282432, 0, 733189632, 0, 19804348032, 0, 375290947840, 201326592, 5335230402432, 21810380800, 59807438318592, 824432394240, 549355033319552, 17077528166400, 4260137204788992

Offset

0,3

Links

Ray Chandler, Table of n, a(n) for n = 0..1000

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

Joan Serra-Sagrista, Enumeration of lattice points in l_1 norm, Inf. Proc. Lett. 76 (1-2) (2000) 39-44.

Index entries for linear recurrences with constant coefficients, signature (0, 24, 0, -276, 0, 2024, 0, -10626, 0, 42504, 0, -134596, 0, 346104, 0, -735471, 0, 1307504, 0, -1961256, 0, 2496144, 0, -2704156, 0, 2496144, 0, -1961256, 0, 1307504, 0, -735471, 0, 346104, 0, -134596, 0, 42504, 0, -10626, 0, 2024, 0, -276, 0, 24, 0, -1).

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=24.

Crossrefs

Sequence in context: A351679 A154374 A114046 * A252438 A179689 A131527

Adjacent sequences: A035885 A035886 A035887 * A035889 A035890 A035891

Keyword

nonn

Author

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

Extensions

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

Status

approved