a(n) = least m such that if r and s in {|F(h+1)-tau*F(h)|: h = 1,2,...,n} satisfy r < s, then r < k/m < s for some integer k, where F = A000045 (Fibonacci numbers) and tau = (1+sqrt(5))/2 (golden ratio).

A024849

a(n) = least m such that if r and s in {|F(h+1)-tau*F(h)|: h = 1,2,...,n} satisfy r < s, then r < k/m < s for some integer k, where F = A000045 (Fibonacci numbers) and tau = (1+sqrt(5))/2 (golden ratio).

Terms

    a(0) =2a(1) =4a(2) =6a(3) =9a(4) =14a(5) =23a(6) =36a(7) =59a(8) =94a(9) =153a(10) =246a(11) =399a(12) =644a(13) =1043a(14) =1686a(15) =2729a(16) =4414a(17) =7143a(18) =11556a(19) =18699

External references