A041236 Numerators of continued fraction convergents to sqrt(130).

11, 23, 57, 1277, 2611, 6499, 145589, 297677, 740943, 16598423, 33937789, 84474001, 1892365811, 3869205623, 9630777057, 215746300877, 441123378811, 1097993058499, 24596970665789, 50291934390077, 125180839445943, 2804270402200823, 5733721643847589

Offset

0,1

Links

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

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

Formula

G.f.: -(x^5-11*x^4+23*x^3+57*x^2+23*x+11) / (x^6+114*x^3-1). - Colin Barker, Nov 08 2013

Mathematica

Numerator[Convergents[Sqrt[130], 30]] (* Vincenzo Librandi, Oct 31 2013 *)

Crossrefs

Cf. A041237.

Sequence in context: A278869 A272628 A141093 * A097485 A098100 A105967

Adjacent sequences: A041233 A041234 A041235 * A041237 A041238 A041239

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 08 2013

Status

approved