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A073821
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Decimal expansion of number with continued fraction expansion 0, 2, 4, 6, ... (the even numbers).
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7
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4, 4, 6, 3, 8, 9, 9, 6, 5, 8, 9, 6, 5, 3, 4, 5, 0, 7, 0, 4, 7, 6, 8, 1, 7, 9, 5, 1, 9, 2, 6, 4, 2, 6, 6, 9, 7, 7, 6, 2, 5, 3, 1, 4, 7, 4, 0, 0, 3, 8, 7, 8, 2, 2, 8, 6, 1, 1, 9, 8, 9, 8, 6, 5, 4, 9, 5, 1, 4, 8, 9, 3, 1, 4, 4, 3, 6, 7, 5, 6, 2, 5, 6, 8, 6, 0, 7, 6, 8, 8, 0, 0, 6, 9, 9, 5, 1, 3, 6, 5, 8, 2, 2, 7
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OFFSET
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0,1
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LINKS
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FORMULA
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BesselI(1, 1)/BesselI(0, 1) (courtesy of the Inverse Symbolic Calculator).
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EXAMPLE
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0.44638996589653450704768179519...
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MATHEMATICA
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RealDigits[FromContinuedFraction[2Range[0, 200]], 10, 120][[1]] (* Harvey P. Dale, Oct 30 2011 *)
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PROG
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(PARI) dec_exp(v)= {my(w=contfracpnqn(v)); w[1, 1]/w[2, 1]+0.0; }
dec_exp(vector(2000, i, 2*(i-1)))
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CROSSREFS
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Cf. A005843 (even numbers), A052119 (continued fraction exp. is 0, 1, 2, 3, ...), A073747 (coth(1), continued fraction exp. is odd numbers).
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KEYWORD
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AUTHOR
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STATUS
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approved
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