|
|
A079757
|
|
Periodic sequence 1, 0, -2, 3, -2, 0, ...
|
|
4
|
|
|
1, 0, -2, 3, -2, 0, 1, 0, -2, 3, -2, 0, 1, 0, -2, 3, -2, 0, 1, 0, -2, 3, -2, 0, 1, 0, -2, 3, -2, 0, 1, 0, -2, 3, -2, 0, 1, 0, -2, 3, -2, 0, 1, 0, -2, 3, -2, 0, 1, 0, -2, 3, -2, 0, 1, 0, -2, 3, -2, 0, 1, 0, -2, 3, -2, 0, 1, 0, -2, 3, -2, 0, 1, 0, -2, 3, -2, 0, 1, 0, -2, 3, -2, 0, 1, 0, -2, 3, -2, 0
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,3
|
|
LINKS
|
|
|
FORMULA
|
a(n) = A057079(2*n+1) - (-1)^floor((2*n+1)/2).
G.f.: (1+2*x)/(1+2*x+2*x^2+x^3).
a(n) = -2*a(n-1) - 2*a(n-2) - a(n-3).
a(n) = |Real(2*(sqrt(3/4)*i - 1/2)^n - (-1)^n )|, where i = sqrt(-1). - Ralf Stephan, Mar 07 2003
|
|
MATHEMATICA
|
PadRight[{}, 120, {1, 0, -2, 3, -2, 0}] (* G. C. Greubel, Mar 27 2024 *)
|
|
PROG
|
(Magma) &cat[[1, 0, -2, 3, -2, 0]: n in [0..20]]; // G. C. Greubel, Mar 27 2024
(SageMath)
def A079757(n): return [1, 0, -2, 3, -2, 0][n%6]
|
|
CROSSREFS
|
|
|
KEYWORD
|
easy,sign
|
|
AUTHOR
|
Mario Catalani (mario.catalani(AT)unito.it), Jan 10 2003
|
|
STATUS
|
approved
|
|
|
|