A041486 Numerators of continued fraction convergents to sqrt(260).

16, 129, 4144, 33281, 1069136, 8586369, 275832944, 2215249921, 71163830416, 571525893249, 18359992414384, 147451465208321, 4736806879080656, 38041906497853569, 1222077814810394864, 9814664424981012481, 315291339414202794256, 2532145379738603366529

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,258,0,-1).

Formula

G.f.: -(x^3-16*x^2-129*x-16) / ((x^2-16*x-1)*(x^2+16*x-1)). - Colin Barker, Nov 07 2013

Mathematica

Numerator[Convergents[Sqrt[260], 30]] (* Vincenzo Librandi, Nov 03 2013 *)

Crossrefs

Cf. A041487.

Sequence in context: A120785 A031156 A099195 * A196642 A196595 A055914

Adjacent sequences: A041483 A041484 A041485 * A041487 A041488 A041489

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 07 2013

Status

approved