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A041426
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Numerators of continued fraction convergents to sqrt(229).
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10
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15, 106, 121, 227, 1710, 51527, 362399, 413926, 776325, 5848201, 176222355, 1239404686, 1415627041, 2655031727, 20000849130, 602680505627, 4238764388519, 4841444894146, 9080209282665
(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 A090301.
For the terms of the periodical sequence of the continued fraction for sqrt(229) see A040213. 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) = A090301(3*n+1), a(5*n+1) = (A090301(3*n+2) - A090301(3*n+1))/2, a(5*n+2) = (A090301(3*n+2) + A090301(3*n+1))/2, a(5*n+3) = A090301(3*n+2) and a(5*n+4) = A090301(3*n+3)/2.
(End)
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CROSSREFS
| Cf. A041427, A041018, A041046, A041090, A041150, A041226, A041318, A041426, A041550.
Sequence in context: A077261 A012507 A143727 * A074877 A202255 A205352
Adjacent sequences: A041423 A041424 A041425 * A041427 A041428 A041429
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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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