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%I #27 Aug 20 2018 06:25:05
%S 1,34,578,6562,56066,385186,2220098,11058466,48663554,192441122,
%T 693230658,2300164770,7094825730,20501991330,55871829570,144411206178,
%U 355761664002,838944980514,1900906442306,4152257037218,8769652761346,17955289409186,35721495233602
%N Coordination sequence for 17-dimensional cubic lattice.
%H Seiichi Manyama, <a href="/A035712/b035712.txt">Table of n, a(n) for n = 0..10000</a> (terms 0..1000 from Colin Barker)
%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_17">Index entries for linear recurrences with constant coefficients</a>, signature (17, -136, 680, -2380, 6188, -12376, 19448, -24310, 24310, -19448, 12376, -6188, 2380, -680, 136, -17, 1).
%F G.f.: ((1+x)/(1-x))^17.
%F a(n) = (2*(638512875 + 4851868680*n^2 + 4215249348*n^4 + 1045091320*n^6 + 99734206*n^8 + 4181320*n^10 + 80444*n^12 + 680*n^14 + 2*n^16)) / 638512875 for n>0. - _Colin Barker_, Apr 20 2017
%F n*a(n) = 34*a(n-1) + (n-2)*a(n-2) for n > 1. - _Seiichi Manyama_, Aug 20 2018
%o (PARI) Vec(((1+x)/(1-x))^17 + O(x^30)) \\ _Colin Barker_, Apr 20 2017
%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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