A041950 Numerators of continued fraction convergents to sqrt(498).

22, 67, 424, 9395, 56794, 179777, 7966982, 24080723, 152451320, 3378009763, 20420509898, 64639539457, 2864560246006, 8658320277475, 54814481910856, 1214576922316307, 7342276015808698, 23241404969742401, 1029964094684474342, 3113133689023165427

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,359554,0,0,0,0,0,-1).

Formula

G.f.: -(x^11 -22*x^10 +67*x^9 -424*x^8 +9395*x^7 -56794*x^6 -179777*x^5 -56794*x^4 -9395*x^3 -424*x^2 -67*x -22) / (x^12 -359554*x^6 +1). - Colin Barker, Nov 27 2013

Mathematica

Numerator[Convergents[Sqrt[498], 30]] (* Vincenzo Librandi, Nov 12 2013 *)

Crossrefs

Cf. A041951, A040475.

Sequence in context: A041948 A002757 A346854 * A114636 A334034 A044160

Adjacent sequences: A041947 A041948 A041949 * A041951 A041952 A041953

Keyword

nonn,cofr,frac,easy,less

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 27 2013

Status

approved