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A035909 Coordination sequence for diamond structure D^+_66. (Edges defined by l_1 norm = 1.) 1
1, 0, 8712, 0, 12655632, 0, 7363888664, 0, 2300684695584, 0, 448681205484072, 0, 59904484213281840, 0, 5829554227763981880, 0, 432708304259607621696, 0, 25358927904615986491976, 0, 1205707495877530248973392, 0, 47541429981663923354785368, 0, 1583107940352344774704064608, 0 (list; graph; refs; listen; history; text; internal format)
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=66.
CROSSREFS
Sequence in context: A237874 A252646 A170796 * A031877 A222815 A233679
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

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Last modified April 16 20:42 EDT 2024. Contains 371754 sequences. (Running on oeis4.)