A035775 Coordination sequence for C_38 lattice.

1, 2888, 1392016, 269493720, 28142347040, 1846012202088, 83558656596144, 2782948528883448, 71467464065517120, 1466676453767667080, 24743395759941243856, 351105989545855146008, 4270772766808101054816

Offset

0,2

Links

Muniru A Asiru, Table of n, a(n) for n = 0..250

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))^38.

Maple

c:=38: seq(coeff(series(((1+x)/(1-x))^c, x, n+1), x, n), n=0..30, 2); # Muniru A Asiru, Jul 01 2018

Crossrefs

Sequence in context: A241529 A185502 A035895 * A107571 A072016 A253402

Adjacent sequences: A035772 A035773 A035774 * A035776 A035777 A035778

Keyword

nonn,easy

Author

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

Extensions

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

Status

approved