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A133512
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Accept F(1), reject F(1), accept F(2), reject F(2), accept F(3), ...,.
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3
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1, 3, 5, 6, 9, 10, 11, 15, 16, 17, 18, 19, 25, 26, 27, 28, 29, 30, 31, 32, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118
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OFFSET
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1,2
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COMMENTS
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Start with natural numbers, then A004201 Accept one, reject one, accept two, reject two, ..., but this new analogous sequence functionally composes this with A000045 Fibonacci numbers.
a(n+1) is also the length of the shortest prefix of the Fibonacci word (A003849) containing some length-n block twice. - Jeffrey Shallit, May 15 2018
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LINKS
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MATHEMATICA
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L = {}; x = 1; Do[L = Join[L, Range[x, x + Fibonacci[n] - 1]]; x += 2 * Fibonacci[n], {n, 9}]; L (* Giovanni Resta, Jun 20 2016 *)
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CROSSREFS
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KEYWORD
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easy,nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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