A017017 a(n) = 7*n + 3.

3, 10, 17, 24, 31, 38, 45, 52, 59, 66, 73, 80, 87, 94, 101, 108, 115, 122, 129, 136, 143, 150, 157, 164, 171, 178, 185, 192, 199, 206, 213, 220, 227, 234, 241, 248, 255, 262, 269, 276, 283, 290, 297, 304, 311, 318, 325, 332, 339, 346, 353, 360, 367, 374, 381

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..5000
• Tanya Khovanova, Recursive Sequences
• Index entries for linear recurrences with constant coefficients, signature (2,-1).

Crossrefs

Cf. A008589, A016993, A017005.

Programs

Magma

[7*n+3: n in [0..60]]; // Vincenzo Librandi, May 28 2011

Maple

A017017:=n->7*n + 3; seq(A017017(n), n=0..100); # Wesley Ivan Hurt, Feb 24 2014

Mathematica

Range[3, 600, 7] (* Vladimir Joseph Stephan Orlovsky, May 27 2011 *)

PARI

a(n)=7*n+3 \\ Charles R Greathouse IV, Jul 02 2013

SageMath

[7*n+3 for n in range(80)] # G. C. Greubel, Oct 17 2023

Formula

From G. C. Greubel, Oct 17 2023: (Start)

G.f.: (3 + 4*x)/(1 - x)^2.

E.g.f.: (3 + 7*x)*exp(x). (End)