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A041412 Numerators of continued fraction convergents to sqrt(221). 2
14, 15, 104, 223, 1442, 1665, 48062, 49727, 346424, 742575, 4801874, 5544449, 160046446, 165590895, 1153591816, 2472774527, 15990238978, 18463013505, 532954617118, 551417630623, 3841460400856, 8234338432335, 53247490994866, 61481829427201, 1774738714956494 (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 (0,0,0,0,0,3330,0,0,0,0,0,-1).

FORMULA

G.f.: -(x^11 -14*x^10 +15*x^9 -104*x^8 +223*x^7 -1442*x^6 -1665*x^5 -1442*x^4 -223*x^3 -104*x^2 -15*x -14) / ((x^4 -15*x^2 +1)*(x^8 +15*x^6 +224*x^4 +15*x^2 +1)). - Colin Barker, Nov 07 2013

MATHEMATICA

Numerator[Convergents[Sqrt[221], 30]] (* Vincenzo Librandi, Nov 01 2013 *)

CROSSREFS

Cf. A041413.

Sequence in context: A041408 A041406 A041410 * A041414 A033050 A225757

Adjacent sequences:  A041409 A041410 A041411 * A041413 A041414 A041415

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 07 2013

STATUS

approved

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Last modified March 18 12:10 EDT 2019. Contains 321283 sequences. (Running on oeis4.)