A017053 a(n) = 7*n + 6.

6, 13, 20, 27, 34, 41, 48, 55, 62, 69, 76, 83, 90, 97, 104, 111, 118, 125, 132, 139, 146, 153, 160, 167, 174, 181, 188, 195, 202, 209, 216, 223, 230, 237, 244, 251, 258, 265, 272, 279, 286, 293, 300, 307, 314, 321, 328, 335, 342, 349, 356, 363, 370, 377, 384

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
• INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 955
• Index entries for linear recurrences with constant coefficients, signature (2,-1).

Crossrefs

Cf. A008589, A016993, A017005, A017017.

Programs

Magma

[7*n + 6: n in [0..60]]; // Vincenzo Librandi, Jun 18 2011

Mathematica

Array[7*#+6&,100,0] (* Vladimir Joseph Stephan Orlovsky, Dec 14 2009 *)
LinearRecurrence[{2,-1},{6,13},60] (* Harvey P. Dale, Apr 13 2022 *)

PARI

a(n)=7*n+6 \\ Charles R Greathouse IV, Jul 10 2016

Formula

a(n) = 2*a(n-1) - a(n-2). - Wesley Ivan Hurt, Mar 17 2023

G.f.: (6+x)/(1-x)^2. - Wesley Ivan Hurt, Dec 28 2023