A146761 Period 6: repeat [0, 0, 6, 6, 3, 3].

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

Offset

0,3

Comments

Equals A002798 mod 9.

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

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

Formula

From Richard Choulet, Dec 02 2008: (Start)

a(n+6) = a(n) with a(0)=a(1)=0, a(2)=a(3)=6, a(4)=a(5)=3.

O.g.f: f(z)=a(0)+a(1)*z+...=((6*z^2+3*z^4)/((1-z)*(1+z+z^2)*(1-z+z^2))).

a(n) = 3-sqrt(3)*sin(2*Pi*n/3)-3*cos(Pi*n/3). (End)

a(n) = a(n-1) - a(n-2) + a(n-3) - a(n-4) + a(n-5) for n>4. - Wesley Ivan Hurt, Jun 18 2016

Maple

A146761:=n->[0, 0, 6, 6, 3, 3][(n mod 6)+1]: seq(A146761(n), n=0..100); # Wesley Ivan Hurt, Jun 18 2016

Mathematica

PadRight[{}, 108, {0, 0, 6, 6, 3, 3}] (* Harvey P. Dale, May 01 2012 *)

Prog

(Magma) &cat[[0, 0, 6, 6, 3, 3]^^20]; // Wesley Ivan Hurt, Jun 18 2016

Crossrefs

Cf. A002798.

Sequence in context: A154006 A143080 A011484 * A010498 A339083 A240502

Adjacent sequences: A146758 A146759 A146760 * A146762 A146763 A146764

Keyword

nonn,easy

Author

Paul Curtz, Nov 02 2008

Status

approved