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A299995
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Number of distinct factorizations of the length-n prefix of the Fibonacci word A003849 into finite Fibonacci words.
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1
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1, 1, 2, 2, 3, 5, 3, 7, 7, 10, 17, 17, 25, 42, 25, 57, 57, 82, 139, 82, 190, 190, 272, 462, 462, 677, 1139, 677, 1544, 1544, 2221, 3765, 3765, 5500, 9265, 5500, 12544, 12544, 18044, 30588, 18044, 41778, 41778, 59822, 101600, 101600, 148878
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OFFSET
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1,3
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COMMENTS
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The finite Fibonacci words are the prefixes of A003849 of length a Fibonacci number: 0, 01, 010, 01001, etc.
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LINKS
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EXAMPLE
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For n = 7, the three factorizations of 0100101 are (01)(0)(01)(01), (01001)(01), and (010)(01)(01).
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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