A182641 - OEIS

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

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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: