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A035715 Coordination sequence for 20-dimensional cubic lattice. 1

%I #23 Aug 20 2018 07:45:55

%S 1,40,800,10680,107200,864008,5831520,33940120,174074240,800061160,

%T 3339504032,12798246520,45443741760,150656183240,469398016480,

%U 1382296736088,3866465104640,10317238542760,26364054632480,64734486343480

%N Coordination sequence for 20-dimensional cubic lattice.

%H Seiichi Manyama, <a href="/A035715/b035715.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_20">Index entries for linear recurrences with constant coefficients</a>, signature (20, -190, 1140, -4845, 15504, -38760, 77520, -125970, 167960, -184756, 167960, -125970, 77520, -38760, 15504, -4845, 1140, -190, 20, -1).

%F G.f.: ((1+x)/(1-x))^20.

%F n*a(n) = 40*a(n-1) + (n-2)*a(n-2) for n > 1. - _Seiichi Manyama_, Aug 20 2018

%t CoefficientList[Series[((1+x)/(1-x))^20,{x,0,30}],x] (* _Harvey P. Dale_, Mar 26 2016 *)

%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

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Last modified June 9 01:05 EDT 2024. Contains 373227 sequences. (Running on oeis4.)