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A041226
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Numerators of continued fraction convergents to sqrt(125).
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10
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11, 56, 67, 123, 682, 15127, 76317, 91444, 167761, 930249, 20633239, 104096444, 124729683, 228826127, 1268860318, 28143753123, 141987625933, 170131379056, 312119004989, 1730726404001, 38388099893011
(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 A001946.
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) = A001946(3*n+1), a(5*n+1) = (A001946(3*n+2) - A001946(3*n+1))/2, a(5*n+2) = (A001946(3*n+2) + A001946(3*n+1))/2, a(5*n+3):=A001946(3*n+2) and a(5*n+4) = A001946(3*n+3)/2.
(End)
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CROSSREFS
| Cf. A041227, A041018, A041046, A041090, A041150, A041226, A041318, A041426, A041550.
Sequence in context: A165791 A032166 A099532 * A042503 A079547 A034264
Adjacent sequences: A041223 A041224 A041225 * A041227 A041228 A041229
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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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