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A341113
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Numerators of continued fraction convergents to 2^(1/12).
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2
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1, 1, 17, 18, 89, 196, 1461, 1657, 3118, 7893, 18904, 140221, 579788, 720009, 2019806, 2739815, 166408706, 169148521, 673854269, 843002790, 2359859849, 19721881582, 100969267759, 120691149341, 342351566441, 463042715782, 805394282223, 1268436998005, 7147579272248
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OFFSET
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0,3
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LINKS
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FORMULA
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a(0) = 1, a(1) = 1, a(n) = A103922(n-1) * a(n-1) + a(n-2) for n >1.
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EXAMPLE
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Convergents to [1; 16, 1, 4, 2, 7, 1, 1, 2, 2, ...]: 1, 17/16, 18/17, 89/84, 196/185, 1461/1379, 1657/1564, 3118/2943, 7893/7450, 18904/17843, ...
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MATHEMATICA
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Join[{1}, Numerator[Convergents[2^(1/12), 28]]] (* Amiram Eldar, Apr 28 2021 *)
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CROSSREFS
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KEYWORD
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nonn,frac
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AUTHOR
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STATUS
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approved
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