A185065 a(n) = n*(n^3 + 2).

0, 3, 20, 87, 264, 635, 1308, 2415, 4112, 6579, 10020, 14663, 20760, 28587, 38444, 50655, 65568, 83555, 105012, 130359, 160040, 194523, 234300, 279887, 331824, 390675, 457028, 531495, 614712, 707339, 810060, 923583, 1048640

Offset: 0

Author

Vincenzo Librandi, Mar 31 2011

Keywords

• nonn
• easy

Comments

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

A058895(n)^3 + A068601(n)^3 + A033562(n)^3 = a(n)^3, for n > 0. - Vincenzo Librandi, Mar 13 2012

Examples

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

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..1000
• Index entries for linear recurrences with constant coefficients, signature (5,-10,10,-5,1).

Crossrefs

Cf. A084380, A058895, A068601, A033562.

Programs

Mathematica

Table[n(n^3+2),{n,0,40}]  (* Harvey P. Dale, Apr 11 2011 *)

PARI

a(n)=n*(n^3+2) \\ Charles R Greathouse IV, Oct 07 2015

Formula

G.f.: x*(3 + 5*x + 17*x^2 - x^3)/(1-x)^5. - Bruno Berselli, Mar 31 2011