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A035905
Coordination sequence for diamond structure D^+_58. (Edges defined by l_1 norm = 1.)
1
1, 0, 6728, 0, 7548816, 0, 3393946328, 0, 819877766944, 0, 123745300449128, 0, 12801566604046000, 0, 966654502323949560, 0, 55767643765799259712, 0, 2544965525082339968136, 0, 94418486754360593452496, 0, 2911600798615988008635672, 0, 76009554628261194904548704, 0, 1705960467700830531128119720, 0
OFFSET
0,3
LINKS
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=58.
CROSSREFS
Sequence in context: A031580 A028543 A145320 * A099778 A049507 A064160
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