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A041046
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Numerators of continued fraction convergents to sqrt(29).
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10
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5, 11, 16, 27, 70, 727, 1524, 2251, 3775, 9801, 101785, 213371, 315156, 528527, 1372210, 14250627, 29873464, 44124091, 73997555, 192119201, 1995189565, 4182498331, 6177687896, 10360186227, 26898060350
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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COMMENTS
| Contribution from Johannes W. Meijer (meijgia(AT)hotmail.com), Jun 12 2010: (Start)
The a(n) terms of this sequence can be constructed with the terms of sequence A087130.
For the terms of the periodical sequence of the continued fraction for sqrt(29) see A010128. We observe that its period is five. The decimal expansion of sqrt(29) is A010484.
(End)
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FORMULA
| Contribution from Johannes W. Meijer (meijgia(AT)hotmail.com), Jun 12 2010: (Start)
a(5*n) = A087130(3*n+1), a(5*n+1) = (A087130(3*n+2) - A087130(3*n+1))/2, a(5*n+2) = ( A087130(3*n+2) + A087130(3*n+1))/2, a(5*n+3) = A087130(3*n+2) and a(5*n+4) = A087130(3*n+3)/2.
(End)
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MATHEMATICA
| Table[Numerator[FromContinuedFraction[ContinuedFraction[Sqrt[29], n]]], {n, 1, 50}] (*From Vladimir Joseph Stephan Orlovsky, Mar 18 2011*)
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CROSSREFS
| Cf. A041047, A041018, A041046, A041090, A041150, A041226, A041318, A041426, A041550.
Sequence in context: A035108 A022136 A042385 * A041117 A041491 A058025
Adjacent sequences: A041043 A041044 A041045 * A041047 A041048 A041049
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KEYWORD
| nonn,frac,easy
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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