A041376 Numerators of continued fraction convergents to sqrt(203).

14, 57, 1610, 6497, 183526, 740601, 20920354, 84422017, 2384736830, 9623369337, 271839078266, 1096979682401, 30987270185494, 125046060424377, 3532276962068050, 14254153908696577, 402648586405572206, 1624848499530985401, 45898406573273163434

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,114,0,-1).

Formula

G.f.: -(x^3-14*x^2-57*x-14) / (x^4-114*x^2+1). - Colin Barker, Nov 07 2013

Mathematica

Numerator[Convergents[Sqrt[203], 30]] (* Vincenzo Librandi, Nov 01 2013 *)

Crossrefs

Cf. A041377.

Sequence in context: A005915 A211069 A212675 * A063537 A084195 A033856

Adjacent sequences: A041373 A041374 A041375 * A041377 A041378 A041379

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 07 2013

Status

approved