A130806 Period 6: 1,4,3,-1,-4,-3.

1, 4, 3, -1, -4, -3, 1, 4, 3, -1, -4, -3, 1, 4, 3, -1, -4, -3, 1, 4, 3, -1, -4, -3, 1, 4, 3, -1, -4, -3, 1, 4, 3, -1, -4, -3, 1, 4, 3, -1, -4, -3, 1, 4, 3, -1, -4, -3, 1, 4, 3

Offset: 0

Author

Paul Curtz, Jul 16 2007

Keywords

• sign
• easy
• less

Comments

Nonsimple continued fractions of (10+sqrt 35)/13 = 1.2243138294... - R. J. Mathar, Mar 08 2012

Links

• Index entries for linear recurrences with constant coefficients, signature (1,-1).

Programs

Mathematica

PadRight[{},100,{1,4,3,-1,-4,-3}] (* Paolo Xausa, Dec 05 2023 *)

PARI

a(n)=[1,4,3,-1,-4,-3][n%6+1] \\ Charles R Greathouse IV, Jun 02 2011

Formula

From R. J. Mathar, Oct 15 2009: (Start)

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

a(n) = A010892(n) + 3*A010892(n-1).

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

Extensions

Edited by N. J. A. Sloane, Sep 15 2007