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A283748
a(n) = least m such that (2^n-1)/2^n < f(m) < (2*2^n-1)/2^(n+1), where f(m) = fractional part of m*(golden ratio).
2
2, 1, 3, 16, 8, 21, 55, 288, 144, 377, 1974, 987, 2584, 6765, 35422, 17711, 46368
OFFSET
1,1
COMMENTS
This is column 1 of A283741; |a(n+1)-a(n)| is a Fibonacci number for n>=1.
MATHEMATICA
g = GoldenRatio; z = 100000; t = Table[N[FractionalPart[n*g]], {n, 1, z}];
r[k_] := Select[Range[z], (2^k - 1)/2^k < t[[#]] < (2*2^k - 1)/2^(k + 1) &, 1];
Flatten[Table[r[k], {k, 0, 50}]] (* A283748 *)
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, Mar 17 2017
STATUS
approved