A008596 Multiples of 14.

0, 14, 28, 42, 56, 70, 84, 98, 112, 126, 140, 154, 168, 182, 196, 210, 224, 238, 252, 266, 280, 294, 308, 322, 336, 350, 364, 378, 392, 406, 420, 434, 448, 462, 476, 490, 504, 518, 532, 546, 560, 574, 588, 602, 616, 630, 644, 658, 672, 686, 700, 714, 728

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..1000
• Tanya Khovanova, Recursive Sequences.
• INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 326.
• Index entries for linear recurrences with constant coefficients, signature (2,-1).

Crossrefs

Cf. A008589, A008594, A008595, A033571, A135628, A158186.

Programs

Mathematica

Range[0, 1000, 14] (* Vladimir Joseph Stephan Orlovsky, May 31 2011 *)
CoefficientList[Series[14 x / (x - 1)^2, {x, 0, 60}], x] (* Vincenzo Librandi, Jun 10 2013 *)

PARI

a(n)=14*n \\ Charles R Greathouse IV, Sep 28 2015

Formula

a(n) = A033571(n) - A158186(n). - Reinhard Zumkeller, Mar 13 2009

From R. J. Mathar, Jun 23 2009: (Start)

a(n) = 14*n.

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

G.f.: 14*x/(x-1)^2. (End)

From Elmo R. Oliveira, Apr 08 2025: (Start)

E.g.f.: 14*x*exp(x).

a(n) = 2*A008589(n) = A135628(n)/2. (End)