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A041551
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Denominators of continued fraction convergents to sqrt(293).
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10
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1, 8, 9, 17, 145, 4947, 39721, 44668, 84389, 719780, 24556909, 197175052, 221731961, 418907013, 3572988065, 121900501223, 978776997849, 1100677499072, 2079454496921, 17736313474440, 605114112627881, 4858649214497488, 5463763327125369, 10322412541622857
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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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 A178765.
For the terms of the periodical sequence of the continued fraction for sqrt(293) see A040275. We observe that its period is five.
(End)
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FORMULA
| Contribution from Johannes W. Meijer (meijgia(AT)hotmail.com), Jun 12 2010: (Start)
a(5*n) = A178765(3*n), a(5*n+1) = (A178765(3*n+1) - A178765(3*n))/2, a(5*n+2) = (A178765(3*n+1) + A178765(3*n))/2, a(5*n+3) = A178765(3*n+1) and a(5*n+4) = A178765(3*n+2)/2.
(End)
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MATHEMATICA
| Table[Denominator[FromContinuedFraction[ContinuedFraction[Sqrt[293], n]]], {n, 1, 50}] (* From Vladimir Joseph Stephan Orlovsky, Jun 23 2011 *)
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CROSSREFS
| Cf. A041550.
Contribution from Johannes W. Meijer (meijgia(AT)hotmail.com), Jun 12 2010: (Start)
Cf. A041019, A041047, A041091, A041151, A041227, A041319, A041427 and A041551.
(End)
Sequence in context: A042753 A042727 A041128 * A057104 A095191 A050706
Adjacent sequences: A041548 A041549 A041550 * A041552 A041553 A041554
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KEYWORD
| nonn,cofr,easy
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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