|
|
A154595
|
|
Period 6: repeat [1, 3, 3, -1, -3, -3].
|
|
2
|
|
|
1, 3, 3, -1, -3, -3, 1, 3, 3, -1, -3, -3, 1, 3, 3, -1, -3, -3, 1, 3, 3, -1, -3, -3, 1, 3, 3, -1, -3, -3, 1, 3, 3, -1, -3, -3, 1, 3, 3, -1, -3, -3, 1, 3, 3, -1, -3, -3, 1, 3, 3, -1, -3, -3, 1, 3, 3, -1, -3, -3, 1, 3, 3, -1, -3, -3, 1, 3, 3, -1, -3, -3, 1, 3
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,2
|
|
COMMENTS
|
|
|
LINKS
|
|
|
FORMULA
|
G.f.: ( 1+3*x+3*x^2 ) / ( (1+x)*(x^2-x+1) ). - R. J. Mathar, Dec 04 2011
a(n) + a(n-3) = 0 for n>2.
a(n) = (cos(n*Pi) + 2*cos(n*Pi/3) + 6*sqrt(3)*sin(n*Pi/3))/3. (End)
|
|
MAPLE
|
|
|
MATHEMATICA
|
PadRight[{}, 120, {1, 3, 3, -1, -3, -3}] (* Harvey P. Dale, Aug 09 2013 *)
|
|
PROG
|
|
|
CROSSREFS
|
|
|
KEYWORD
|
sign,easy
|
|
AUTHOR
|
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|