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A041227
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Denominators of continued fraction convergents to sqrt(125).
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10
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1, 5, 6, 11, 61, 1353, 6826, 8179, 15005, 83204, 1845493, 9310669, 11156162, 20466831, 113490317, 2517253805, 12699759342, 15217013147, 27916772489, 154800875592, 3433536035513, 17322481053157, 20756017088670, 38078498141827, 211148507797805
(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 A049666.
For the terms of the periodical sequence of the continued fraction for sqrt(125) see A010186. 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) = A049666(3*n+1), a(5*n+1) = (A049666(3*n+2) - A049666(3*n+1))/2, a(5*n+2) = (A049666(3*n+2)+A049666(3*n+1))/2, a(5*n+3):= A049666(3*n+2) and a(5*n+4) = A049666(3*n+3)/2.
(End)
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MATHEMATICA
| Table[Denominator[FromContinuedFraction[ContinuedFraction[Sqrt[125], n]]], {n, 1, 50}] (* From Vladimir Joseph Stephan Orlovsky, Jun 23 2011 *)
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CROSSREFS
| Cf. A041226.
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: A042217 A041355 A041050 * A042183 A041939 A177714
Adjacent sequences: A041224 A041225 A041226 * A041228 A041229 A041230
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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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