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%I #15 Sep 05 2023 16:00:49
%S 1,0,7688,0,9856016,0,5062048280,0,1396398655520,0,240550579435048,0,
%T 28384206701341744,0,2442767874758677048,0,160471399637289209920,0,
%U 8330250379684809297480,0,351158641745705372415056,0,12288946413958177271442008,0,363592488333694299036293216,0
%N Coordination sequence for diamond structure D^+_62. (Edges defined by l_1 norm = 1.)
%H Georg Fischer, <a href="/A035907/b035907.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=62.
%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