A010696 Periodic sequence: Repeat 2,6.

2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Comments

Original name: Period 2.

Also continued fraction expansion of 1+(2/3)*sqrt(3). - Bruno Berselli, Sep 22 2011

Links

• Index entries for linear recurrences with constant coefficients, signature (0,1)

Crossrefs

Cf. A174114. [From Reinhard Zumkeller, Mar 08 2010]

Programs

Mathematica

PadRight[{}, 100, {2, 6}] (* Paolo Xausa, Feb 22 2024 *)

Formula

G.f.: ( -2-6*x ) / ( (x-1)*(1+x) ). - R. J. Mathar, Jul 07 2011

a(n) = a(-n) = 2*A010684(n) = A131800(2n+1) = A010123(2n+2). - Bruno Berselli, Sep 22 2011

Extensions

Definition rewritten by Bruno Berselli, Sep 22 2011