A017485 a(n) = 11*n + 8.

8, 19, 30, 41, 52, 63, 74, 85, 96, 107, 118, 129, 140, 151, 162, 173, 184, 195, 206, 217, 228, 239, 250, 261, 272, 283, 294, 305, 316, 327, 338, 349, 360, 371, 382, 393, 404, 415, 426, 437, 448, 459, 470, 481, 492, 503, 514, 525, 536, 547, 558, 569, 580, 591, 602, 613

Offset: 0

Author

N. J. A. Sloane, Dec 11 1996

Keywords

• nonn
• easy

Comments

a(n) = A125199(n+1,3) for n>1. - Reinhard Zumkeller, Nov 24 2006

Links

• G. C. Greubel, Table of n, a(n) for n = 0..1000
• Tanya Khovanova, Recursive Sequences
• Index entries for linear recurrences with constant coefficients, signature (2,-1).

Crossrefs

Cf. A002939, A016789, A017041, A125202.

Powers of the form (11*n+8)^m: this sequence (m=1), A017486 (m=2), A017487 (m=3), A017488 (m=4), A017489 (m=5), A017490 (m=6), A017491 (m=7), A017492 (m=8), A017493 (m=9), A017494 (m=10), A017495 (m=11), A017496 (m=12).

Programs

GAP

List([0..60], n-> 11*n+8); # G. C. Greubel, Sep 21 2019

Magma

[11*n+8 : n in [0..60]]; // Wesley Ivan Hurt, May 21 2014

Maple

A017485:=n->11*n+8; seq(A017485(n), n=0..60); # Wesley Ivan Hurt, May 21 2014

Mathematica

Range[8, 1000, 11] (* Vladimir Joseph Stephan Orlovsky, May 29 2011 *)
LinearRecurrence[{2,-1},{8,19},60] (* Harvey P. Dale, May 10 2021 *)

PARI

Vec((8+3*x)/(1-x)^2 + O(x^60)) \\ Colin Barker, Oct 05 2014

Sage

[11*n+8 for n in (0..60)] # G. C. Greubel, Sep 22 2019

Formula

a(n) = 22*n + 5 - a(n-1), with n>0, a(0)=8. - Vincenzo Librandi, Dec 24 2010

From Colin Barker, Oct 05 2014: (Start)

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

G.f.: (8 + 3*x)/(1-x)^2. (End)

E.g.f.: (8 + 11*x)*exp(x). - G. C. Greubel, Sep 21 2019