A035723 Coordination sequence for 28-dimensional cubic lattice.

1, 56, 1568, 29288, 410816, 4618712, 43381856, 350353928, 2485013888, 15734806136, 90102925472, 471579734696, 2275791199808, 10202437251608, 42760427177696, 168481040414792, 627099015232256, 2214397674072248

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 (28, -378, 3276, -20475, 98280, -376740, 1184040, -3108105, 6906900, -13123110, 21474180, -30421755, 37442160, -40116600, 37442160, -30421755, 21474180, -13123110, 6906900, -3108105, 1184040, -376740, 98280, -20475, 3276, -378, 28, -1).

Formula

G.f.: ((1+x)/(1-x))^28.

n*a(n) = 56*a(n-1) + (n-2)*a(n-2) for n > 1. - Seiichi Manyama, Aug 21 2018

Crossrefs

Sequence in context: A022081 A017772 A233981 * A035799 A278362 A017719

Adjacent sequences: A035720 A035721 A035722 * A035724 A035725 A035726

Keyword

nonn,easy

Author

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

Extensions

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

Status

approved