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%I #21 Aug 31 2018 09:26:16
%S 1,94,4418,138462,3256066,61297118,962492226,12968679262,153103850498,
%T 1609171411294,15248694346562,131623619207134,1043758929078018,
%U 7658553780354782,52316368750163266,334486657443997278,2010885935139876866,11414151633224022622
%N Coordination sequence for 47-dimensional cubic lattice.
%H Seiichi Manyama, <a href="/A035742/b035742.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_47">Index entries for linear recurrences with constant coefficients</a>, signature (47, -1081, 16215, -178365, 1533939, -10737573, 62891499, -314457495, 1362649145, -5178066751, 17417133617, -52251400851, 140676848445, -341643774795, 751616304549, -1503232609098, 2741188875414, -4568648125690, 6973199770790, -9762479679106, 12551759587422, -14833897694226, 16123801841550, -16123801841550, 14833897694226, -12551759587422, 9762479679106, -6973199770790, 4568648125690, -2741188875414, 1503232609098, -751616304549, 341643774795, -140676848445, 52251400851, -17417133617, 5178066751, -1362649145, 314457495, -62891499, 10737573, -1533939, 178365, -16215, 1081, -47, 1).
%F G.f.: ((1+x)/(1-x))^47.
%F n*a(n) = 94*a(n-1) + (n-2)*a(n-2) for n > 1. - _Seiichi Manyama_, Aug 31 2018
%t CoefficientList[Series[((1 + x)/(1 - x))^47, {x, 0, 20}], x] (* _Wesley Ivan Hurt_, May 26 2015 *)
%o (PARI) x='x+O('x^99); Vec(((1+x)/(1-x))^47) \\ _Altug Alkan_, Aug 31 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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