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A035723
Coordination sequence for 28-dimensional cubic lattice.
1
1, 56, 1568, 29288, 410816, 4618712, 43381856, 350353928, 2485013888, 15734806136, 90102925472, 471579734696, 2275791199808, 10202437251608, 42760427177696, 168481040414792, 627099015232256, 2214397674072248
OFFSET
0,2
LINKS
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
KEYWORD
nonn,easy
AUTHOR
Joan Serra-Sagrista (jserra(AT)ccd.uab.es)
EXTENSIONS
Recomputed by N. J. A. Sloane, Nov 25 1998
STATUS
approved