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.

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

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: A113313 A342708 A074871 * A337939 A319020 A099200

Adjacent sequences: A182638 A182639 A182640 * A182642 A182643 A182644

Keyword

nonn,tabl

Author

Clark Kimberling, Nov 25 2010

Status

approved