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A229918
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Numerators of convergents of self-generating continued fraction with first term 2.
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2
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2, 5, 29, 961, 1061329, 1292942940721, 1919252026700932310361841, 4228845073866683906973727166841825390255402119281, 20530699713334053449042480498993532340748805163335394099953181550394504111546117863646046977966961
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OFFSET
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0,1
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COMMENTS
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For x > 0, define c(x,0) = x and c(x,n) = [c(x,0), ..., c(x,n-1)]. We call f(x) the self-generating continued fraction with first term x. See A229779.
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LINKS
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EXAMPLE
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The first four convergents are 2/1, 5/2, 29/12, 961/396.
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MATHEMATICA
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z = 10; c[x_, 0] := x; c[x_, n_] := c[x, n] = FromContinuedFraction[Table[c[x, k], {k, 0, n - 1}]]; x = 2; t = Table[c[x, k], {k, 1, z}];
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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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EXTENSIONS
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STATUS
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approved
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