|
|
A332298
|
|
a(n) is the X-coordinate of the n-th point of the Fibonacci word fractal. Sequence A332299 gives Y-coordinates.
|
|
3
|
|
|
0, 1, 2, 2, 3, 4, 4, 4, 3, 3, 3, 4, 4, 4, 3, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 3, 4, 4, 5, 6, 6, 6, 5, 5, 5, 6, 7, 7, 8, 9, 9, 10, 11, 11, 11, 10, 10, 10, 11, 12, 12, 13, 14, 14, 15, 16, 16, 16, 15, 15, 15, 16, 16, 16, 15, 14, 14, 13, 12, 12, 12, 13
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,3
|
|
COMMENTS
|
To build the curve:
- start from the origin looking to the right,
- for k=0, 1, ...:
- move forward to the next lattice point,
- if k is even then turn 90 degrees to the right
- otherwise turn 90 degrees to the left.
|
|
LINKS
|
|
|
PROG
|
(PARI) A003849(n)=my(k=2); while(fibonacci(k)<=n, k++); while(n>1, while(fibonacci(k--)>n, ); n-=fibonacci(k)); n==1
{ z=0; d=I; for (n=0, 76, print1 (real(z) ", "); if (A003849(n)==0, if (n%2==0, d/=I, d*=I); ); z+=d) }
|
|
CROSSREFS
|
|
|
KEYWORD
|
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|