A035920 Coordination sequence for diamond structure D^+_88. (Edges defined by l_1 norm = 1.)

1, 0, 15488, 0, 39990016, 0, 41333677440, 0, 22916557452800, 0, 7919942966638208, 0, 1870534029816486144, 0, 321315959969540069248, 0, 41994780120899506334720, 0, 4321124706193758340042880, 0, 359578487180206655473139456, 0, 24728329402573005235848884608, 0, 1430744078752131145758438498816, 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=88.

Crossrefs

Sequence in context: A210058 A154091 A246912 * A342310 A201344 A235278

Adjacent sequences: A035917 A035918 A035919 * A035921 A035922 A035923

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