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Coordination sequence for diamond structure D^+_78. (Edges defined by l_1 norm = 1.)
1

%I #18 Sep 23 2024 13:35:25

%S 1,0,12168,0,24684816,0,20050650776,0,8739210543648,0,

%T 2375502273471912,0,441550716354149168,0,59738920517881797816,0,

%U 6154813102726791038016,0,499745917657668459264968,0,32852573414724334471351632,0,1787037602269852702724731608,0,81893843128627116973312755296,0

%N Coordination sequence for diamond structure D^+_78. (Edges defined by l_1 norm = 1.)

%H Georg Fischer, <a href="/A035915/b035915.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=78.

%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 Zeros inserted by _Georg Fischer_, Jul 26 2020