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A035774 Coordination sequence for C_37 lattice. 1

%I #22 Aug 12 2018 16:14:30

%S 1,2738,1251266,229731890,22759419650,1417045988658,60920563283394,

%T 1928517866520498,47112663470291970,920606667020062130,

%U 14802580485176160706,200402916980183383858,2328223393508202424066

%N Coordination sequence for C_37 lattice.

%H Seiichi Manyama, <a href="/A035774/b035774.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))^37.

%p seq(coeff(series(((1+x)/(1-x))^37, x,n+1),x,n),n=0..30,2); # _Muniru A Asiru_, Aug 12 2018

%Y Cf. A035732.

%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 14:32 EDT 2024. Contains 374894 sequences. (Running on oeis4.)