[go: up one dir, main page]

login
A131736
Period 6: repeat [0, 0, 1, -1, -1, 1].
3
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
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 * A373254 A152228 A368625
KEYWORD
sign,easy
AUTHOR
Paul Curtz, Sep 19 2007
EXTENSIONS
Title edited by Matthew House, Jan 15 2017
STATUS
approved