A131736 Period 6: repeat [0, 0, 1, -1, -1, 1].

0, 0, 1, -1, -1, 1, 0, 0, 1, -1, -1, 1, 0, 0, 1, -1, -1, 1, 0, 0, 1, -1, -1, 1, 0, 0, 1, -1, -1, 1, 0, 0, 1, -1, -1, 1, 0, 0, 1, -1, -1, 1, 0, 0, 1, -1, -1, 1, 0, 0, 1, -1, -1, 1, 0, 0, 1, -1, -1, 1, 0, 0, 1, -1, -1, 1, 0, 0, 1, -1, -1, 1, 0, 0, 1, -1, -1, 1, 0, 0, 1, -1, -1, 1, 0, 0, 1, -1, -1, 1, 0, 0, 1, -1, -1, 1, 0, 0, 1, -1, -1, 1, 0, 0, 1, -1, -1, 1, 0, 0, 1

Offset

0,1

Links

Matthew House, Table of n, a(n) for n = 0..10000

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

Formula

From Matthew House, Jan 15 2017: (Start)

G.f.: x^2*(1-x)/(1+x^2+x^4).

a(n) = -a(n-2) - a(n-4) for n > 3. (End)

a(n) = sin(n*Pi/6) * (3*sin(n*Pi/2) - 2*sqrt(3)*cos(n*Pi/6) - 3*sqrt(3)*cos(n*Pi/2)) / 3. - Wesley Ivan Hurt, Apr 26 2020

Mathematica

PadRight[{}, 100, {0, 0, 1, -1, -1, 1}] (* Wesley Ivan Hurt, Jan 15 2017 *)

Crossrefs

Sequence in context: A111113 A095190 A131735 * A152228 A368625 A086823

Adjacent sequences: A131733 A131734 A131735 * A131737 A131738 A131739

Keyword

sign,easy

Author

Paul Curtz, Sep 19 2007

Extensions

Title edited by Matthew House, Jan 15 2017

Status

approved