A041504 Numerators of continued fraction convergents to sqrt(269).

16, 33, 82, 2657, 5396, 13449, 435764, 884977, 2205718, 71467953, 145141624, 361751201, 11721180056, 23804111313, 59329402682, 1922344997137, 3904019396956, 9730383791049, 315276300710524, 640282985212097, 1595842271134718, 51707235661523073

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,164,0,0,1).

Formula

G.f.: -(x^5-16*x^4+33*x^3+82*x^2+33*x+16) / (x^6+164*x^3-1). - Colin Barker, Nov 08 2013

Mathematica

Numerator[Convergents[Sqrt[269], 30]] (* Vincenzo Librandi, Nov 03 2013 *)

Crossrefs

Cf. A041505.

Sequence in context: A195146 A365802 A198275 * A275252 A041506 A041508

Adjacent sequences: A041501 A041502 A041503 * A041505 A041506 A041507

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 08 2013

Status

approved