A010706 Period 2: repeat (3,8).

3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3

Offset

0,1

Comments

Continued fraction of (6+sqrt 42)/4. - R. J. Mathar, Nov 21 2011

Links

Table of n, a(n) for n=0..80.

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

Formula

a(n) = -(5/2)*(-1)^n + 11/2. - Paolo P. Lava, Oct 20 2006

G.f.: (3+8x)/((1-x)(1+x)). - R. J. Mathar, Nov 21 2011

a(n) = 3 + 5*(n mod 2). - Wesley Ivan Hurt, Jun 16 2014

Maple

A010706:=n->3 + 5*(n mod 2); seq(A010706(n), n=0..50); # Wesley Ivan Hurt, Jun 16 2014

Mathematica

Table[3 + 5 Mod[n, 2], {n, 0, 50}] (* Wesley Ivan Hurt, Jun 16 2014 *)

Prog

(PARI) a(n)=3+[0, 5][1+n%2]; /* Same as 3+5*(n%2) */ \\ R. J. Cano, Jun 16 2014
(Magma) [3 + 5*(n mod 2): n in [0..50]]; // Wesley Ivan Hurt, Jun 16 2014

Crossrefs

Sequence in context: A359200 A125025 A309345 * A204998 A019919 A213277

Adjacent sequences: A010703 A010704 A010705 * A010707 A010708 A010709

Keyword

nonn,easy

Author

N. J. A. Sloane, Dec 11 1996

Status

approved