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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 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS This is column 1 of A283741; |a(n+1)-a(n)| is a Fibonacci number for n>=1. LINKS Table of n, a(n) for n=1..17. 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 Cf. A000045, A001622, A283740, A283748. Sequence in context: A153189 A362272 A095852 * A209365 A209394 A209023 Adjacent sequences: A283745 A283746 A283747 * A283749 A283750 A283751 KEYWORD nonn,easy AUTHOR Clark Kimberling, Mar 17 2017 STATUS approved

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Last modified June 4 12:12 EDT 2023. Contains 363128 sequences. (Running on oeis4.)