A024027 a(n) = 3^n - n^4.

1, 2, -7, -54, -175, -382, -567, -214, 2465, 13122, 49049, 162506, 510705, 1565762, 4744553, 14298282, 42981185, 129056642, 387315513, 1162131146, 3486624401, 10460158722, 31380825353, 94142898986, 282429204705, 847288218818, 2541865371353, 7625596953546, 22876791840305

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (8,-25,40,-35,16,-3).

Formula

a(n) = 3^n - n^4.

G.f.: (1 - 6*x + 2*x^2 + 12*x^3 + 37*x^4 + 2*x^5)/((1 - x)^5*(1 - 3*x)). - Andrew Howroyd, Nov 02 2025

Mathematica

Table[3^n-n^4, {n, 0, 60}] (* Vladimir Joseph Stephan Orlovsky, Feb 15 2011 *)

Prog

(Magma) [3^n-n^4 : n in [0..30]]; // Vincenzo Librandi, May 17 2011

Crossrefs

Sequence in context: A193191 A180720 A168558 * A079410 A371617 A283335

Adjacent sequences: A024024 A024025 A024026 * A024028 A024029 A024030

Keyword

sign,easy

Author

N. J. A. Sloane

Status

approved