A141694 a(n) = 22*n + 12.

12, 34, 56, 78, 100, 122, 144, 166, 188, 210, 232, 254, 276, 298, 320, 342, 364, 386, 408, 430, 452, 474, 496, 518, 540, 562, 584, 606, 628, 650, 672, 694, 716, 738, 760, 782, 804, 826, 848, 870, 892, 914, 936, 958, 980, 1002, 1024, 1046, 1068, 1090, 1112

Offset: 0

Author

Paul Curtz, Sep 10 2008

Keywords

• nonn
• less
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..10000
• Index entries for linear recurrences with constant coefficients, signature (2,-1).

Crossrefs

Cf. A008604, A010861 (first differences), A017461.

Programs

Magma

[22*n + 12: n in [0..50]]; // Vincenzo Librandi, Aug 08 2011

Mathematica

Range[12, 1500, 22] (* Vladimir Joseph Stephan Orlovsky, Jun 01 2011 *)
LinearRecurrence[{2,-1},{12,34},60] (* Harvey P. Dale, Sep 06 2024 *)

PARI

for(n=0,50, print1(2*(11*n + 6), ", ")) \\ G. C. Greubel, Jun 03 2018

Formula

From G. C. Greubel, Jun 03 2018: (Start)

a(n) = 2*a(n-1) - a(n-2).

G.f.: 2*(6 + 5*x)/(1 - x)^2.

E.g.f.: 2*(6 + 11*x)*exp(x). (End)

a(n) = 2*A017461(n). - Elmo R. Oliveira, Apr 11 2025

Extensions

Edited by R. J. Mathar, Oct 24 2008

Offset changed from 1 to 0 by Vincenzo Librandi, Aug 08 2011