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A054483
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Numerator of lowest terms fraction from division of a highly composite number (1) by its predecessor.
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4
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2, 2, 3, 2, 2, 3, 4, 5, 2, 3, 4, 3, 2, 7, 3, 4, 3, 2, 3, 4, 3, 4, 5, 11, 18, 10, 11, 3, 4, 3, 4, 5, 6, 3, 10, 6, 13, 3, 4, 3, 4, 5, 6, 3, 10, 6, 5, 4, 6, 5, 3, 17, 20, 17, 6, 3, 10, 6, 5, 4, 6, 5, 3, 19, 20, 3, 19, 3, 20, 19, 6, 5, 4, 6, 5, 3, 4, 3, 4, 3, 7, 46, 105, 23, 28, 46, 105, 23, 3, 28, 23, 3
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OFFSET
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2,1
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COMMENTS
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Successive fractions are 2/1,2/1,3/2,2/1,2/1,3/2,4/3,5/4,2/1,3/2,4/3,3/2,2/1 a(n) is frequently A054482(n)+1, though not for example for n=26.
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LINKS
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FORMULA
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EXAMPLE
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a(7)=3 since A002182(7)=36, A002182(6)=24 and 36/24=3/2 in lowest terms.
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MATHEMATICA
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s = Import["https://oeis.org/A002182/b002182.txt", "Data"][[All, -1]]; Array[Numerator[s[[# + 1]]/s[[#]]] &, 120] ] (* Michael De Vlieger, Oct 11 2023 *)
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CROSSREFS
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KEYWORD
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easy,nonn,frac
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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