A041894 Numerators of continued fraction convergents to sqrt(469).

21, 22, 43, 65, 693, 4223, 42923, 47146, 90069, 137215, 5853099, 5990314, 11843413, 17833727, 190180683, 1158917825, 11779358933, 12938276758, 24717635691, 37655912449, 1606265958549, 1643921870998, 3250187829547, 4894109700545, 52191284834997

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 274430, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^19 -21*x^18 +22*x^17 -43*x^16 +65*x^15 -693*x^14 +4223*x^13 -42923*x^12 +47146*x^11 -90069*x^10 -137215*x^9 -90069*x^8 -47146*x^7 -42923*x^6 -4223*x^5 -693*x^4 -65*x^3 -43*x^2 -22*x -21) / (x^20 -274430*x^10 +1). - Colin Barker, Nov 26 2013

Mathematica

Numerator[Convergents[Sqrt[469], 30]] (* Harvey P. Dale, Mar 28 2013 *)

Crossrefs

Cf. A041895, A176443, A040447.

Sequence in context: A022391 A041890 A041892 * A041888 A041886 A041884

Adjacent sequences: A041891 A041892 A041893 * A041895 A041896 A041897

Keyword

nonn,cofr,frac,easy,less

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 26 2013

Status

approved