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A035759 Coordination sequence for C_22 lattice. 1

%I #21 Sep 06 2023 01:48:22

%S 1,968,156816,10286936,368804128,8453107432,136585481648,

%T 1663935545976,16051394232896,127269237312008,853941394691792,

%U 4962895187697048,25459406230618976,117088340731041064,489035476964671472,1875154363323009208,6661774086773638272,22100369343864328264

%N Coordination sequence for C_22 lattice.

%H Seiichi Manyama, <a href="/A035759/b035759.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))^22.

%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 April 25 12:33 EDT 2024. Contains 371969 sequences. (Running on oeis4.)