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%I #19 Sep 05 2023 15:49:10
%S 1,0,968,0,156816,0,10286936,0,368804128,0,8453107432,2097152,
%T 136631618992,530579456,1668180181624,26528972800,16189344891456,
%U 620777963520,129752349166088,9001280471040,883945662928592
%N Coordination sequence for diamond structure D^+_22. (Edges defined by l_1 norm = 1.)
%H Ray Chandler, <a href="/A035887/b035887.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_44">Index entries for linear recurrences with constant coefficients</a>, signature (0, 22, 0, -231, 0, 1540, 0, -7315, 0, 26334, 0, -74613, 0, 170544, 0, -319770, 0, 497420, 0, -646646, 0, 705432, 0, -646646, 0, 497420, 0, -319770, 0, 170544, 0, -74613, 0, 26334, 0, -7315, 0, 1540, 0, -231, 0, 22, 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=22.
%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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