A035706 Coordination sequence for 11-dimensional cubic lattice.

1, 22, 242, 1782, 9922, 44726, 170610, 568150, 1690370, 4573910, 11414898, 26572086, 58227906, 121023606, 240089586, 457018518, 838478850, 1488341910, 2564399090, 4300978550, 7039035586, 11265589302, 17664712562, 27182654422

Offset

0,2

Links

Seiichi Manyama, Table of n, a(n) for n = 0..10000

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.

Index entries for linear recurrences with constant coefficients, signature (11, -55, 165, -330, 462, -462, 330, -165, 55, -11, 1).

Formula

G.f.: ((1+x)/(1-x))^11.

n*a(n) = 22*a(n-1) + (n-2)*a(n-2) for n > 1. - Seiichi Manyama, Aug 18 2018

Crossrefs

Cf. A035748, A266213 (row 11).

Sequence in context: A159649 A046499 A126903 * A249085 A249086 A300624

Adjacent sequences: A035703 A035704 A035705 * A035707 A035708 A035709

Keyword

nonn,easy

Author

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

Extensions

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

Status

approved