A133499 a(n) = n^7 - n.

0, 0, 126, 2184, 16380, 78120, 279930, 823536, 2097144, 4782960, 9999990, 19487160, 35831796, 62748504, 105413490, 170859360, 268435440, 410338656, 612220014, 893871720, 1279999980, 1801088520, 2494357866, 3404825424, 4586471400, 6103515600, 8031810150

Offset: 0

Author

Parthasarathy Nambi, Dec 01 2007

Keywords

• nonn
• easy

Comments

All the terms are divisible by 3.

Examples

			If n=2, then n^7 - n = 126.
If n=13, then n^7 - n = 62748504.
		

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..1000
• Index entries for linear recurrences with constant coefficients, signature (8,-28,56,-70,56,-28,8,-1).

Crossrefs

Cf. A030180, A061167.

Programs

Magma

[n^7-n: n in [0..40]]; // Vincenzo Librandi, May 02 2011

Mathematica

Table[n^7 - n, {n, 0, 40}] (* and *) LinearRecurrence[{8, -28, 56, -70, 56, -28, 8, -1}, {0, 0, 126, 2184, 16380, 78120, 279930, 823536}, 40] (* Vladimir Joseph Stephan Orlovsky, Feb 20 2012 *)

Formula

G.f.: 42*x^2*(3+28*x+58*x^2+28*x^3+3*x^4) / (x-1)^8 . - R. J. Mathar, Mar 13 2015

a(n) = 42*A030180(n). - Philippe Deléham, Mar 17 2016

Extensions

Corrected and extended by Jonathan Vos Post, Dec 02 2007