%I #38 Sep 01 2018 01:58:47

%S 0,3,20,87,264,635,1308,2415,4112,6579,10020,14663,20760,28587,38444,

%T 50655,65568,83555,105012,130359,160040,194523,234300,279887,331824,

%U 390675,457028,531495,614712,707339,810060,923583,1048640

%N a(n) = n*(n^3 + 2).

%C Numbers a(n) such that a(n)^3 = x^3*(x-2). The values of x are in A084380.

%C A058895(n)^3 + A068601(n)^3 + A033562(n)^3 = a(n)^3, for n > 0. - _Vincenzo Librandi_, Mar 13 2012

%H Vincenzo Librandi, <a href="/A185065/b185065.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (5,-10,10,-5,1).

%F G.f.: x*(3 + 5*x + 17*x^2 - x^3)/(1-x)^5. - _Bruno Berselli_, Mar 31 2011

%e 20^3 = 10^3*(10-2); 87^3 = 29^3*(29-2).

%t Table[n(n^3+2),{n,0,40}] (* _Harvey P. Dale_, Apr 11 2011 *)

%o (PARI) a(n)=n*(n^3+2) \\ _Charles R Greathouse IV_, Oct 07 2015

%Y Cf. A084380, A058895, A068601, A033562.

%K nonn,easy

%O 0,2

%A _Vincenzo Librandi_, Mar 31 2011