A035914 Coordination sequence for diamond structure D^+_76. (Edges defined by l_1 norm = 1.)

1, 0, 11552, 0, 22249152, 0, 17158543712, 0, 7101177930112, 0, 1833042722372512, 0, 323611487252712512, 0, 41591858654483462112, 0, 4071632614807216677632, 0, 314205691310358782784032, 0, 19636594989295826962500032, 0, 1015769931337011482701057632, 0, 44281460900813471312057263232, 0

Offset

0,3

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).

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

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=76.

Crossrefs

Sequence in context: A292039 A361031 A031862 * A063064 A205268 A063434

Adjacent sequences: A035911 A035912 A035913 * A035915 A035916 A035917

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