A035714 Coordination sequence for 19-dimensional cubic lattice.

1, 38, 722, 9158, 87362, 669446, 4298066, 23810534, 116323586, 509663334, 2029779538, 7428962950, 25216532290, 79995909190, 238745924050, 674152795558, 1810015572994, 4640757865126, 11406058224594, 26964373486406

Offset

0,2

Comments

Coordination sequence for 18-dimensional cyclotomic lattice Z[zeta_38].

Links

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

M. Beck and S. Hosten, Cyclotomic polytopes and growth series of cyclotomic lattices, arXiv:math/0508136 [math.CO], 2005-2006.

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 (19, -171, 969, -3876, 11628, -27132, 50388, -75582, 92378, -92378, 75582, -50388, 27132, -11628, 3876, -969, 171, -19, 1).

Formula

G.f.: ((1+x)/(1-x))^19.

n*a(n) = 38*a(n-1) + (n-2)*a(n-2) for n > 1. - Seiichi Manyama, Aug 20 2018

Crossrefs

Sequence in context: A240425 A269010 A010954 * A161651 A162166 A162392

Adjacent sequences: A035711 A035712 A035713 * A035715 A035716 A035717

Keyword

nonn,easy

Author

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

Extensions

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

Status

approved