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Coordination sequence for 28-dimensional cubic lattice.
1

%I #19 Aug 21 2018 08:23:26

%S 1,56,1568,29288,410816,4618712,43381856,350353928,2485013888,

%T 15734806136,90102925472,471579734696,2275791199808,10202437251608,

%U 42760427177696,168481040414792,627099015232256,2214397674072248

%N Coordination sequence for 28-dimensional cubic lattice.

%H Seiichi Manyama, <a href="/A035723/b035723.txt">Table of n, a(n) for n = 0..10000</a>

%H J. H. Conway and N. J. A. Sloane, Low-Dimensional Lattices VII: Coordination Sequences, Proc. Royal Soc. London, A453 (1997), 2369-2389 (<a href="http://neilsloane.com/doc/Me220.pdf">pdf</a>).

%H Joan Serra-Sagrista, <a href="http://dx.doi.org/10.1016/S0020-0190(00)00119-8">Enumeration of lattice points in l_1 norm</a>, Inf. Proc. Lett. 76 (1-2) (2000) 39-44.

%H <a href="/index/Rec#order_28">Index entries for linear recurrences with constant coefficients</a>, 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).

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

%F n*a(n) = 56*a(n-1) + (n-2)*a(n-2) for n > 1. - _Seiichi Manyama_, Aug 21 2018

%K nonn,easy

%O 0,2

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

%E Recomputed by _N. J. A. Sloane_, Nov 25 1998