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A035924 Coordination sequence for diamond structure D^+_96. (Edges defined by l_1 norm = 1.) 1

%I #21 Jul 26 2020 16:26:18

%S 1,0,18432,0,56635392,0,69653977088,0,45941752946688,0,

%T 18883048883742720,0,5302106181975969792,0,1082317427128538560512,0,

%U 168008295568901851496448,0,20520427348116269962201088,0,2025569927437217835574947840,0,165116986495329690031964854272,0,11314954879930777539489769725952,0

%N Coordination sequence for diamond structure D^+_96. (Edges defined by l_1 norm = 1.)

%H Georg Fischer, <a href="/A035924/b035924.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=96.

%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 Odd-indexed terms inserted by _Georg Fischer_, Jul 26 2020

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Last modified April 25 04:42 EDT 2024. Contains 371964 sequences. (Running on oeis4.)