A035771 Coordination sequence for C_34 lattice.

1, 2312, 892432, 138504984, 11614313504, 613171117352, 22402282117680, 604244840324920, 12614155679414336, 211305268473868616, 2922553486972196432, 34155116258699416408, 343782495750215242848, 3028315702502063596904

Offset

0,2

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.

Formula

a(n) = [x^(2n)] ((1+x)/(1-x))^34.

Crossrefs

Cf. A035729.

Sequence in context: A260049 A184025 A251436 * A107567 A238025 A369960

Adjacent sequences: A035768 A035769 A035770 * A035772 A035773 A035774

Keyword

nonn,easy

Author

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

Extensions

Recomputed by N. J. A. Sloane, Nov 25 1998

Status

approved