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A035917 Coordination sequence for diamond structure D^+_82. (Edges defined by l_1 norm = 1.) 1

%I

%S 1,0,13448,0,30150416,0,27063010712,0,13032761962016,0,

%T 3913291362389672,0,803284881791282480,0,119978383321782198200,0,

%U 13641020048513471601728,0,1221725104670456390191304,0,88546015593657513545141072,0,5307256748692946318313380312,0,267833718693896594307599764064,0

%N Coordination sequence for diamond structure D^+_82. (Edges defined by l_1 norm = 1.)

%D J. Serra-Sagrista, Enumeration of lattice points in l_1 norm, Information Processing Letters, 76, no. 1-2 (2000), 39-44.

%H Georg Fischer, <a href="/A035917/b035917.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>).

%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=82.

%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 January 21 23:44 EST 2022. Contains 350481 sequences. (Running on oeis4.)