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A041236 Numerators of continued fraction convergents to sqrt(130). 2
11, 23, 57, 1277, 2611, 6499, 145589, 297677, 740943, 16598423, 33937789, 84474001, 1892365811, 3869205623, 9630777057, 215746300877, 441123378811, 1097993058499, 24596970665789, 50291934390077, 125180839445943, 2804270402200823, 5733721643847589 (list; graph; refs; listen; history; text; internal format)
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

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Last modified August 6 18:25 EDT 2020. Contains 336256 sequences. (Running on oeis4.)