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%I #16 Sep 07 2023 15:39:44
%S 1,0,2048,0,700416,0,96376832,0,7172939776,0,336604997632,0,
%T 10951050137600,0,263584490403840,0,4921913935446016,68719476736,
%U 73938443596679168,12850542149632,919638329955807232
%N Coordination sequence for diamond structure D^+_32. (Edges defined by l_1 norm = 1.)
%H Ray Chandler, <a href="/A035892/b035892.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_64">Index entries for linear recurrences with constant coefficients</a>, signature (0, 32, 0, -496, 0, 4960, 0, -35960, 0, 201376, 0, -906192, 0, 3365856, 0, -10518300, 0, 28048800, 0, -64512240, 0, 129024480, 0, -225792840, 0, 347373600, 0, -471435600, 0, 565722720, 0, -601080390, 0, 565722720, 0, -471435600, 0, 347373600, 0, -225792840, 0, 129024480, 0, -64512240, 0, 28048800, 0, -10518300, 0, 3365856, 0, -906192, 0, 201376, 0, -35960, 0, 4960, 0, -496, 0, 32, 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=32.
%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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