A136006 a(n) = n^6 - n^3.

0, 0, 56, 702, 4032, 15500, 46440, 117306, 261632, 530712, 999000, 1770230, 2984256, 4824612, 7526792, 11387250, 16773120, 24132656, 34006392, 47039022, 63992000, 85756860, 113369256, 148023722, 191089152, 244125000, 308898200, 387400806, 481868352, 594798932

Offset: 0

Author

Rolf Pleisch, Mar 16 2008

Keywords

• easy
• nonn

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Crossrefs

Cf. A085744.

Programs

Magma

[n^6 - n^3: n in [0..40]]; // Vincenzo Librandi, Feb 16 2014

Maple

A136006:=n->n^6 - n^3; seq(A136006(n), n=0..60); # Wesley Ivan Hurt, Feb 14 2014

Mathematica

a[n_]:=n^6-n^3; a[Range[0,60]] (* Vladimir Joseph Stephan Orlovsky, Feb 10 2011 *)
CoefficientList[Series[(2 x^6 + 58 x^5 + 294 x^4 + 310 x^3 + 56 x^2)/(-x^7 + 7 x^6 - 21 x^5 + 35 x^4 - 35 x^3 + 21 x^2 - 7 x + 1), {x, 0, 40}], x] (* Vincenzo Librandi, Feb 16 2014 *)

PARI

a(n) = n^6 - n^3; \\ Joerg Arndt, Feb 16 2014

Formula

G.f.: (2*x^6 + 58*x^5 + 294*x^4 + 310*x^3 + 56*x^2)/(-x^7 + 7*x^6 - 21*x^5 + 35*x^4 - 35*x^3 + 21*x^2 - 7*x + 1). - Alexander R. Povolotsky, Apr 01 2008

a(n) = A001014(n) - A000578(n). - Michel Marcus, Feb 15 2014

a(n) = 2 * A085744(n). - Alois P. Heinz, Mar 15 2021

Extensions

Extended by Ray Chandler, Dec 13 2008