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A182641 Array T(n,k)=[k*r^n]-[r*[kr^(n-1)]], where r = golden mean = (1+sqrt(5))/2, for k>=1, for n>=2; [ ]=floor. 0
1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,10
COMMENTS
Let F=A000045=(0,1,1,2,3,5,8,13,...) = Fibonacci numbers.
T(2n,k)=0 for 1<=k<=F(2n-1), and T(2n,F(2n))=1, for n>=2.
T(2n+1,k)=2 for 1<=k<=F(2n-1), T(2n+1,F(2n))=1, for n>=2.
(row 2)=A078588.
LINKS
EXAMPLE
Northwest corner of the array:
1...1...1...1...1...1...1...
1...0...1...0...0...1...0...
0...1...1...2...1...1...1...
2...1...1...1...0...0...1...
0...0...0...0...1...1...1...
2...2...2...2...1...1...1...
0...0...0...0...0...0...0...
2...2...2...2...2...2...2...
CROSSREFS
Cf. A000045.
Sequence in context: A113313 A342708 A074871 * A337939 A319020 A099200
KEYWORD
nonn,tabl
AUTHOR
Clark Kimberling, Nov 25 2010
STATUS
approved

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Last modified June 16 12:15 EDT 2024. Contains 373429 sequences. (Running on oeis4.)