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A041118 Numerators of continued fraction convergents to sqrt(68). 2
8, 33, 536, 2177, 35368, 143649, 2333752, 9478657, 153992264, 625447713, 10161155672, 41270070401, 670482282088, 2723199198753, 44241669462136, 179689877047297, 2919279702218888, 11856808685922849, 192628218676984472, 782369683393860737, 12710543152978756264 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..100

Index entries for linear recurrences with constant coefficients, signature (0,66,0,-1).

FORMULA

G.f.: -(x^3-8*x^2-33*x-8) / ((x^2-8*x-1)*(x^2+8*x-1)). - Colin Barker, Nov 05 2013

MATHEMATICA

Numerator[Convergents[Sqrt[68], 30]] (* Harvey P. Dale, Aug 12 2012 *)

CROSSREFS

Cf. A010520, A041119.

Sequence in context: A240044 A069509 A204191 * A308879 A297904 A298498

Adjacent sequences:  A041115 A041116 A041117 * A041119 A041120 A041121

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 05 2013

STATUS

approved

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Last modified January 19 04:18 EST 2021. Contains 340262 sequences. (Running on oeis4.)