A017473 a(n) = 11*n + 7.

7, 18, 29, 40, 51, 62, 73, 84, 95, 106, 117, 128, 139, 150, 161, 172, 183, 194, 205, 216, 227, 238, 249, 260, 271, 282, 293, 304, 315, 326, 337, 348, 359, 370, 381, 392, 403, 414, 425, 436, 447, 458, 469, 480, 491, 502, 513, 524, 535, 546, 557, 568, 579, 590

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Links

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

Crossrefs

Cf. A008593, A017401, A017413.

Powers of the form (11*n+7)^m: this sequence (m=1), A017474 (m=2), A017475 (m=3), A017476 (m=4), A017477 (m=5), A017478 (m=6), A017479 (m=7), A017480 (m=8), A017481 (m=9), A017482 (m=10), A017483 (m=11), A017484 (m=12).

Programs

GAP

List([0..60], n-> 11*n+7); # G. C. Greubel, Sep 19 2019

Magma

[(11*n+7): n in [0..60]]; // Vincenzo Librandi, Sep 04 2011

Maple

seq(11*n+7, n=0..60); # G. C. Greubel, Sep 19 2019

Mathematica

Range[7, 1000, 11] (* Vladimir Joseph Stephan Orlovsky, May 29 2011 *)

PARI

vector(60, n, 11*n-4) \\ G. C. Greubel, Sep 19 2019

Sage

[11*n+7 for n in (0..60)] # G. C. Greubel, Sep 19 2019

Formula

From Colin Barker, Jun 06 2012: (Start)

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

G.f.: (7 + 4*x)/(1-x)^2. (End)

E.g.f.: (7 + 11*x)*exp(x). - G. C. Greubel, Sep 19 2019