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%I #16 Sep 07 2023 15:45:35
%S 1,0,2888,0,1392016,0,269493720,0,28142347040,0,1846012202088,0,
%T 83558656596144,0,2782948528883448,0,71467464065517120,0,
%U 1466676453767667080,137438953472,24743400982621475792
%N Coordination sequence for diamond structure D^+_38. (Edges defined by l_1 norm = 1.)
%H Ray Chandler, <a href="/A035895/b035895.txt">Table of n, a(n) for n = 0..1000</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.
%H <a href="/index/Rec#order_76">Index entries for linear recurrences with constant coefficients</a>, signature (0, 38, 0, -703, 0, 8436, 0, -73815, 0, 501942, 0, -2760681, 0, 12620256, 0, -48903492, 0, 163011640, 0, -472733756, 0, 1203322288, 0, -2707475148, 0, 5414950296, 0, -9669554100, 0, 15471286560, 0, -22239974430, 0, 28781143380, 0, -33578000610, 0, 35345263800, 0, -33578000610, 0, 28781143380, 0, -22239974430, 0, 15471286560, 0, -9669554100, 0, 5414950296, 0, -2707475148, 0, 1203322288, 0, -472733756, 0, 163011640, 0, -48903492, 0, 12620256, 0, -2760681, 0, 501942, 0, -73815, 0, 8436, 0, -703, 0, 38, 0, -1).
%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=38.
%K nonn
%O 0,3
%A Joan Serra-Sagrista (jserra(AT)ccd.uab.es)
%E Recomputed by _N. J. A. Sloane_, Nov 27 1998
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