A017029 a(n) = 7*n + 4.

4, 11, 18, 25, 32, 39, 46, 53, 60, 67, 74, 81, 88, 95, 102, 109, 116, 123, 130, 137, 144, 151, 158, 165, 172, 179, 186, 193, 200, 207, 214, 221, 228, 235, 242, 249, 256, 263, 270, 277, 284, 291, 298, 305, 312, 319, 326, 333, 340, 347, 354, 361, 368, 375, 382

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, A017017.

Cf. similar sequences with closed form (2*k-1)*n+k listed in A269044.

Programs

Magma

[7*n + 4: n in [0..60]]; // Vincenzo Librandi, Jun 18 2011

Mathematica

Range[4,1000,7] (* Vladimir Joseph Stephan Orlovsky, Jun 25 2009 *)
CoefficientList[Series[(3*x + 4)/(1 - x)^2, {x, 0, 60}], x] (* Vincenzo Librandi, Jan 27 2013 *)
LinearRecurrence[{2,-1},{4,11},60] (* Harvey P. Dale, Mar 27 2025 *)

PARI

a(n)=7*n+4 \\ Charles R Greathouse IV, Jul 10 2016

Formula

G.f.: (3*x + 4)/(1-x)^2. - Vincenzo Librandi, Jan 27 2013

From Elmo R. Oliveira, Apr 12 2025: (Start)

E.g.f.: exp(x)*(4 + 7*x).

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

Extensions

Extended by Ray Chandler, Jan 25 2005