A153509 Period 9: repeat [6, 6, 6, 3, 3, 3, 0, 0, 0].

6, 6, 6, 3, 3, 3, 0, 0, 0, 6, 6, 6, 3, 3, 3, 0, 0, 0, 6, 6, 6, 3, 3, 3, 0, 0, 0, 6, 6, 6, 3, 3, 3, 0, 0, 0, 6, 6, 6, 3, 3, 3, 0, 0, 0, 6, 6, 6, 3, 3, 3, 0, 0, 0, 6, 6, 6, 3, 3, 3, 0, 0, 0, 6, 6, 6, 3, 3, 3, 0, 0, 0, 6, 6, 6, 3, 3, 3, 0, 0, 0, 6, 6, 6, 3, 3, 3, 0, 0, 0, 6, 6, 6, 3, 3, 3, 0, 0, 0, 6, 6, 6, 3, 3, 3

Offset

0,1

Links

Table of n, a(n) for n=0..104.

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

Formula

G.f.: 3*(2+x^3)/((1-x)*(1+x^3+x^6)). - R. J. Mathar, Jan 21 2009

a(n) = 3*((3-floor((n+3)/3)) mod 3). - Wesley Ivan Hurt, Apr 27 2020

Mathematica

PadRight[{}, 9*12, {6, 6, 6, 3, 3, 3, 0, 0, 0}] (* Harvey P. Dale, Dec 17 2012 *)

Prog

(PARI) a(n)=[6, 6, 6, 3, 3, 3, 0, 0, 0][n%9+1] \\ Charles R Greathouse IV, Jul 13 2016

Crossrefs

Cf. A130851.

Sequence in context: A172360 A175288 A349187 * A248093 A361006 A292091

Adjacent sequences: A153506 A153507 A153508 * A153510 A153511 A153512

Keyword

nonn,easy

Author

Paul Curtz, Dec 28 2008

Extensions

More periods from R. J. Mathar, Jan 21 2009

Status

approved