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 A035922 Coordination sequence for diamond structure D^+_92. (Edges defined by l_1 norm = 1.) 1

%I

%S 1,0,16928,0,47770816,0,53961910368,0,32693191777664,0,

%T 12344924033021088,0,3184972567869380160,0,597507392393892768480,0,

%U 85262234662439382964992,0,9575709164465078419148576,0,869413362323354953321410496,0,65210204744900307804085396832,0,4113251841348247300523686353024,0

%N Coordination sequence for diamond structure D^+_92. (Edges defined by l_1 norm = 1.)

%H Georg Fischer, <a href="/A035922/b035922.txt">Table of n, a(n) for n = 0..200</a>

%H J. H. Conway and N. J. A. Sloane, Low-Dimensional Lattices VII: Coordination Sequences, Proc. Royal Soc. London, A453 (1997), 2369-2389 (<a href="http://neilsloane.com/doc/Me220.pdf">pdf</a>).

%H Joan Serra-Sagrista, <a href="http://dx.doi.org/10.1016/S0020-0190(00)00119-8">Enumeration of lattice points in l_1 norm</a>, Inf. Proc. Lett. 76 (1-2) (2000) 39-44.

%p 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.

%K nonn

%O 0,3

%A Joan Serra-Sagrista (jserra(AT)ccd.uab.es)

%E Recomputed by _N. J. A. Sloane_, Nov 27 1998

%E Zeroes inserted by _Georg Fischer_, Jul 26 2020

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Last modified January 18 11:57 EST 2022. Contains 350455 sequences. (Running on oeis4.)