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%I #13 Mar 13 2019 23:44:27
%S 0,1,1,64,125,1331,4096,24389,91125,438976,1771561,7880599,32768000,
%T 141420761,594823321,2537716544,10720765125,45537538411,192699928576,
%U 817138135549,3460080078125,14662949322176,62103840598801,263115950765039,1114512556032000,4721424167332081,19999831641819121
%N a(n) = A001350(n)^3.
%H Seiichi Manyama, <a href="/A324487/b324487.txt">Table of n, a(n) for n = 0..1000</a>
%H M. Baake, J. Hermisson, P. Pleasants, <a href="http://dx.doi.org/10.1088/0305-4470/30/9/016">The torus parametrization of quasiperiodic LI-classes</a>, J. Phys. A 30 (1997), no. 9, 3029-3056. See Tables 5 and 6.
%F Conjectures from _Colin Barker_, Mar 13 2019: (Start)
%F G.f.: x*(1 + x^2)*(1 - 3*x + 47*x^2 - 96*x^3 + 104*x^4 + 96*x^5 + 47*x^6 + 3*x^7 + x^8) / ((1 - x)*(1 + x)*(1 - 3*x + x^2)*(1 + x - x^2)*(1 - x - x^2)*(1 + 3*x + x^2)*(1 - 4*x - x^2)).
%F a(n) = 4*a(n-1) + 12*a(n-2) - 44*a(n-3) - 44*a(n-4) + 132*a(n-5) + 66*a(n-6) - 132*a(n-7) - 44*a(n-8) + 44*a(n-9) + 12*a(n-10) - 4*a(n-11) - a(n-12) for n>11.
%F (End)
%Y Cf. A001350, A152152, A324488, A324489.
%K nonn
%O 0,4
%A _N. J. A. Sloane_, Mar 12 2019
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