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A035922 Coordination sequence for diamond structure D^+_92. (Edges defined by l_1 norm = 1.) 1
1, 0, 16928, 0, 47770816, 0, 53961910368, 0, 32693191777664, 0, 12344924033021088, 0, 3184972567869380160, 0, 597507392393892768480, 0, 85262234662439382964992, 0, 9575709164465078419148576, 0, 869413362323354953321410496, 0, 65210204744900307804085396832, 0, 4113251841348247300523686353024, 0 (list; graph; refs; listen; history; text; internal format)
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=92.

CROSSREFS

Sequence in context: A259426 A200973 A190935 * A233497 A233498 A233490

Adjacent sequences:  A035919 A035920 A035921 * A035923 A035924 A035925

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 December 7 20:40 EST 2021. Contains 349589 sequences. (Running on oeis4.)