A035776 Coordination sequence for C_39 lattice.
1, 3042, 1544322, 314835170, 34608828930, 2388631358178, 113694451659906, 3979111519381986, 107295791104411650, 2310089623221009890, 40848260232482733186, 606946694349068289762, 7722883730528961651202
Offset: 0
Links
- Seiichi Manyama, Table of n, a(n) for n = 0..10000
- R. Bacher, P. de la Harpe and B. Venkov, Séries de croissance et séries d'Ehrhart associées aux réseaux de racines, C. R. Acad. Sci. Paris, 325 (Series 1) (1997), 1137-1142.
- J. H. Conway and N. J. A. Sloane, Low-Dimensional Lattices VII: Coordination Sequences, Proc. Royal Soc. London, A453 (1997), 2369-2389 (pdf).
- Joan Serra-Sagrista, Enumeration of lattice points in l_1 norm, Inf. Proc. Lett. 76 (1-2) (2000) 39-44.
Crossrefs
Cf. A035734.
Programs
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Maple
seq(coeff(series(((1+x)/(1-x))^39, x,n+1),x,n),n=0..30,2); # Muniru A Asiru, Aug 12 2018
Formula
a(n) = [x^(2n)] ((1+x)/(1-x))^39.
Extensions
Recomputed by N. J. A. Sloane, Nov 25 1998