A041350 Numerators of continued fraction convergents to sqrt(189).

13, 14, 41, 55, 1471, 1526, 4523, 6049, 161797, 167846, 497489, 665335, 17796199, 18461534, 54719267, 73180801, 1957420093, 2030600894, 6018621881, 8049222775, 215298414031, 223347636806, 661993687643, 885341324449, 23680868123317, 24566209447766

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,110,0,0,0,-1).

Formula

G.f.: -(x^7-13*x^6+14*x^5-41*x^4-55*x^3-41*x^2-14*x-13) / (x^8-110*x^4+1). - Colin Barker, Nov 07 2013

Mathematica

Numerator[Convergents[Sqrt[189], 30]] (* Vincenzo Librandi, Nov 01 2013 *)
LinearRecurrence[{0, 0, 0, 110, 0, 0, 0, -1}, {13, 14, 41, 55, 1471, 1526, 4523, 6049}, 30] (* Harvey P. Dale, Aug 23 2021 *)

Crossrefs

Cf. A041351.

Sequence in context: A292116 A071870 A346544 * A041348 A041346 A329650

Adjacent sequences: A041347 A041348 A041349 * A041351 A041352 A041353

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 07 2013

Status

approved