A131291 Period 9: repeat [5, 4, 5, 3, 4, 3, 5, 4, 5].

5, 4, 5, 3, 4, 3, 5, 4, 5, 5, 4, 5, 3, 4, 3, 5, 4, 5, 5, 4, 5, 3, 4, 3, 5, 4, 5, 5, 4, 5, 3, 4, 3, 5, 4, 5, 5, 4, 5, 3, 4, 3, 5, 4, 5, 5, 4, 5, 3, 4, 3, 5, 4, 5, 5, 4, 5, 3, 4, 3, 5, 4, 5, 5, 4, 5, 3, 4, 3, 5, 4, 5, 5, 4, 5, 3, 4, 3, 5, 4, 5, 5, 4, 5, 3, 4, 3, 5, 4, 5, 5, 4, 5, 3, 4, 3, 5, 4, 5, 5, 4

Offset

0,1

Comments

Continued fraction expansion of +274627/108809+(113/108809)*sqrt(6833690) = 5.2387578233.... - R. J. Mathar, Mar 08 2012

Links

Table of n, a(n) for n=0..100.

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

Formula

O.g.f.: (1-x)/(9*(x^2+x+1))+2*(1+x^2-x^3-x^5)/(3*(x^6+x^3+1))-38/(9*(x-1)). - R. J. Mathar, Apr 17 2008

Maple

A131291 := proc(n) op((n mod 9)+1, [5, 4, 5, 3, 4, 3, 5, 4, 5]) ; end: seq(A131291(n), n=0..100) ; # R. J. Mathar, Feb 27 2008

Mathematica

PadRight[{}, 120, {5, 4, 5, 3, 4, 3, 5, 4, 5}] (* Harvey P. Dale, May 06 2015 *)

Crossrefs

Cf. A122219.

Sequence in context: A058209 A160789 A266111 * A305394 A361803 A344124

Adjacent sequences: A131288 A131289 A131290 * A131292 A131293 A131294

Keyword

nonn,easy

Author

Paul Curtz, Sep 29 2007

Extensions

More terms from R. J. Mathar, Feb 27 2008

Typo in definition corrected by Herman Jamke (hermanjamke(AT)fastmail.fm), Mar 22 2008

Status

approved