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%I #27 Aug 27 2018 10:26:01
%S 1,80,3200,85360,1708800,27392016,366366080,4206606640,42340840960,
%T 379634835920,3070951360128,22644802030320,153524473002240,
%U 963926974039440,5639746542798720,30914051605760688,159505036253752320
%N Coordination sequence for 40-dimensional cubic lattice.
%H Seiichi Manyama, <a href="/A035735/b035735.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/Con#coordination_sequences">Index entries for coordination sequences</a>
%H <a href="/index/Rec#order_40">Index entries for linear recurrences with constant coefficients</a>, signature (40, -780, 9880, -91390, 658008, -3838380, 18643560, -76904685, 273438880, -847660528, 2311801440, -5586853480, 12033222880, -23206929840, 40225345056, -62852101650, 88732378800, -113380261800, 131282408400, -137846528820, 131282408400, -113380261800, 88732378800, -62852101650, 40225345056, -23206929840, 12033222880, -5586853480, 2311801440, -847660528, 273438880, -76904685, 18643560, -3838380, 658008, -91390, 9880, -780, 40, -1).
%F G.f.: ((1+x)/(1-x))^40.
%F n*a(n) = 80*a(n-1) + (n-2)*a(n-2) for n > 1. - _Seiichi Manyama_, Aug 27 2018
%t CoefficientList[Series[((1+x)/(1-x))^40,{x,0,20}],x] (* _Harvey P. Dale_, Apr 25 2011 *)
%o (PARI) Vec(((1+x)/(1-x))^40 + O(x^20)) \\ _Felix Fröhlich_, Aug 27 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
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