|
| |
|
|
A041047
|
|
Denominators of continued fraction convergents to sqrt(29).
|
|
10
| |
|
|
1, 2, 3, 5, 13, 135, 283, 418, 701, 1820, 18901, 39622, 58523, 98145, 254813, 2646275, 5547363, 8193638, 13741001, 35675640, 370497401, 776670442, 1147167843, 1923838285, 4994844413, 51872282415
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,2
|
|
|
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 A052918.
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)
|
|
|
FORMULA
| Contribution from Johannes W. Meijer (meijgia(AT)hotmail.com), Jun 12 2010: (Start)
a(5*n) = A052918(3*n), a(5*n+1) = (A052918(3*n+1) - A052918(3*n))/2, a(5*n+2) = (A052918(3*n+1) + A052918(3*n))/2, a(5*n+3) = A052918(3*n+1) and a(5*n+4) = A052918(3*n+2)/2.
(End)
|
|
|
MATHEMATICA
| Table[Denominator[FromContinuedFraction[ContinuedFraction[Sqrt[29], n]]], {n, 1, 50}] (*From Vladimir Joseph Stephan Orlovsky, Mar 18 2011*)
|
|
|
CROSSREFS
| Cf. A041046.
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: A139095 A005478 A117740 * A120494 A164825 A038601
Adjacent sequences: A041044 A041045 A041046 * A041048 A041049 A041050
|
|
|
KEYWORD
| nonn,cofr,easy
|
|
|
AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
|
| |
|
|
