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A035769 Coordination sequence for C_32 lattice. 1

%I #21 Sep 06 2023 01:53:35

%S 1,2048,700416,96376832,7172939776,336604997632,10951050137600,

%T 263584490403840,4921911787962368,73937309725313024,

%U 919525887711997952,9689853217125292032,88194231555585941504,704523479193614804992,5007046793271774990336,32029123626088983853056

%N Coordination sequence for C_32 lattice.

%H Seiichi Manyama, <a href="/A035769/b035769.txt">Table of n, a(n) for n = 0..10000</a>

%H R. Bacher, P. de la Harpe and B. Venkov, <a href="http://dx.doi.org/10.1016/S0764-4442(97)83542-2">Séries de croissance et séries d'Ehrhart associées aux réseaux de racines</a>, C. R. Acad. Sci. Paris, 325 (Series 1) (1997), 1137-1142.

%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.

%F a(n) = [x^(2n)] ((1+x)/(1-x))^32.

%K nonn,easy

%O 0,2

%A Joan Serra-Sagrista (jserra(AT)ccd.uab.es)

%E Recomputed by _N. J. A. Sloane_, Nov 25 1998

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Last modified August 3 13:42 EDT 2024. Contains 374894 sequences. (Running on oeis4.)