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A035907 Coordination sequence for diamond structure D^+_62. (Edges defined by l_1 norm = 1.) 1
1, 0, 7688, 0, 9856016, 0, 5062048280, 0, 1396398655520, 0, 240550579435048, 0, 28384206701341744, 0, 2442767874758677048, 0, 160471399637289209920, 0, 8330250379684809297480, 0, 351158641745705372415056, 0, 12288946413958177271442008, 0, 363592488333694299036293216, 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=62.
CROSSREFS
Sequence in context: A133859 A012082 A184026 * A307134 A183974 A234223
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 February 25 12:20 EST 2024. Contains 370325 sequences. (Running on oeis4.)