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Coordination sequence for C_50 lattice.
6

%I #22 Apr 07 2020 08:03:41

%S 1,5000,4170000,1394447000,250799764000,28222682700200,

%T 2180706863326000,123252789641763000,5335428332027176000,

%U 183203070393610797000,5129723834328569406800,119780004243882975543000,2376073555319729124284000,40672867087351099089831400

%N Coordination sequence for C_50 lattice.

%H Seiichi Manyama, <a href="/A035787/b035787.txt">Table of n, a(n) for n = 0..10000</a>

%H R. Bacher, P. de la Harpe and B. Venkov, <a href="https://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="https://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))^50.

%Y Cf. A035745.

%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