A024029 a(n) = 3^n - n^6.

1, 2, -55, -702, -4015, -15382, -45927, -115462, -255583, -511758, -940951, -1594414, -2454543, -3232486, -2746567, 2958282, 26269505, 105002594, 353408265, 1115215586, 3422784401, 10374587082, 31267679705, 93995142938, 282238433505, 847044468818, 2541556912553

Offset

0,2

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (10,-42,98,-140,126,-70,22,-3).

Formula

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

G.f.: (1 - 8*x - 33*x^2 - 166*x^3 + 639*x^4 + 828*x^5 + 177*x^6 + 2*x^7)/((1 - x)^7*(1 - 3*x)). - Andrew Howroyd, Nov 02 2025

Maple

A024029:=n->3^n-n^6: seq(A024029(n), n=0..40); # Wesley Ivan Hurt, Feb 16 2017

Prog

(Magma) [3^n-n^6 : n in [0..30]]; // Vincenzo Librandi, May 17 2011

Crossrefs

Sequence in context: A007975 A109796 A186886 * A134501 A210928 A210932

Adjacent sequences: A024026 A024027 A024028 * A024030 A024031 A024032

Keyword

sign,easy

Author

N. J. A. Sloane

Status

approved