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A035912 Coordination sequence for diamond structure D^+_72. (Edges defined by l_1 norm = 1.) 1

%I #15 Sep 05 2023 14:02:40

%S 1,0,10368,0,17922816,0,12407366016,0,4610216314368,0,

%T 1068744800817792,0,169506887987474688,0,19580193687475702656,0,

%U 1723599538143585831936,0,119669709626799156403328,0,6733021714697626592585472,0,313769325989254807329936768,0,12331923156069951694058082816,0

%N Coordination sequence for diamond structure D^+_72. (Edges defined by l_1 norm = 1.)

%H Georg Fischer, <a href="/A035912/b035912.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=72.

%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

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Last modified August 4 20:13 EDT 2024. Contains 374925 sequences. (Running on oeis4.)