A041498 Numerators of continued fraction convergents to sqrt(266).

16, 49, 212, 685, 22132, 67081, 290456, 938449, 30320824, 91900921, 397924508, 1285674445, 41539506748, 125904194689, 545156285504, 1761373051201, 56909093923936, 172488654823009, 746863713215972, 2413079794470925, 77965417136285572, 236309331203327641

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,1370,0,0,0,-1).

Formula

G.f.: -(x^7-16*x^6+49*x^5-212*x^4-685*x^3-212*x^2-49*x-16) / (x^8-1370*x^4+1). - Colin Barker, Nov 07 2013

Mathematica

Numerator[Convergents[Sqrt[266], 30]] (* Vincenzo Librandi, Nov 03 2013 *)
LinearRecurrence[{0, 0, 0, 1370, 0, 0, 0, -1}, {16, 49, 212, 685, 22132, 67081, 290456, 938449}, 30] (* Harvey P. Dale, Sep 02 2015 *)

Crossrefs

Cf. A041499.

Sequence in context: A105823 A112630 A039606 * A264479 A104992 A153483

Adjacent sequences: A041495 A041496 A041497 * A041499 A041500 A041501

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 07 2013

Status

approved