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%I #21 Mar 19 2023 14:12:32
%S 8,15,37,76,140,234,364,536,756,1030,1364,1764,2236,2786,3420,4144,
%T 4964,5886,6916,8060,9324,10714,12236,13896,15700,17654,19764,22036,
%U 24476,27090,29884,32864,36036,39406,42980,46764,50764,54986,59436,64120,69044,74214,79636,85316,91260,97474,103964,110736,117796,125150
%N Floor((n+1/n)^3).
%H Vincenzo Librandi, <a href="/A197602/b197602.txt">Table of n, a(n) for n = 1..10000</a>
%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (4,-6,4,-1).
%F From _Bruno Berselli_, Oct 17 2011: (Start)
%F G.f.: x*(8-17*x+25*x^2-14*x^3+6*x^4-3*x^5+x^6)/(1-x)^4.
%F a(n) = 4*a(n-1)-6*a(n-2)+4*a(n-3)-a(n-4) for n>7.
%F a(n) = A079908(n) for n>3. (End)
%o (Magma) [Floor((n+1/n)^3): n in [1..60]]
%o (PARI) a(n)=n^3+3*n+(3*n^2+1)\n^3 \\ _Charles R Greathouse IV_, Oct 07 2015
%Y Cf. A079908, A014052.
%K nonn,easy
%O 1,1
%A _Vincenzo Librandi_, Oct 17 2011
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