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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

Table of n, a(n) for n=1..93.

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: A259896 A113313 A074871 * A319020 A099200 A093578

Adjacent sequences:  A182638 A182639 A182640 * A182642 A182643 A182644

KEYWORD

nonn,tabl

AUTHOR

Clark Kimberling, Nov 25 2010

STATUS

approved

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Last modified June 24 17:58 EDT 2019. Contains 324330 sequences. (Running on oeis4.)