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A041546 Numerators of continued fraction convergents to sqrt(291). 2
17, 290, 9877, 168199, 5728643, 97555130, 3322603063, 56581807201, 1927104047897, 32817350621450, 1117717025177197, 19034006778633799, 648273947498726363, 11039691114256981970, 375997771832236113343, 6403001812262270908801 (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 (0,580,0,-1).

FORMULA

G.f.: (17 + 290*x + 17*x^2 - x^3)/(1 - 580*x^2 + x^4). [Bruno Berselli, Nov 04 2013]

MATHEMATICA

Numerator[Convergents[Sqrt[291], 30]] (* Vincenzo Librandi, Nov 04 2013 *)

LinearRecurrence[{0, 580, 0, -1}, {17, 290, 9877, 168199}, 20] (* Bruno Berselli, Nov 04 2013 *)

CROSSREFS

Cf. A041547.

Sequence in context: A015969 A001026 A178765 * A186000 A222572 A163049

Adjacent sequences:  A041543 A041544 A041545 * A041547 A041548 A041549

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified August 14 21:07 EDT 2018. Contains 313756 sequences. (Running on oeis4.)