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%I #16 Sep 05 2023 14:05:54
%S 1,0,14792,0,36477072,0,36010162520,0,19069940181280,0,
%T 6295606113770728,0,1420507268612532656,0,233146706655610223736,0,
%U 29119100331561118798400,0,2863789159379953441861640,0,227816193344959389026441936,0,14980493079438827125762543512,0,828964387249656093121206745952,0
%N Coordination sequence for diamond structure D^+_86. (Edges defined by l_1 norm = 1.)
%H Georg Fischer, <a href="/A035919/b035919.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=86.
%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