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A041510 Numerators of continued fraction convergents to sqrt(272). 2
16, 33, 1072, 2177, 70736, 143649, 4667504, 9478657, 307984528, 625447713, 20322311344, 41270070401, 1340964564176, 2723199198753, 88483338924272, 179689877047297, 5838559404437776, 11856808685922849, 385256437353968944, 782369683393860737 (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 (0,66,0,-1).

FORMULA

G.f.: -(x+1)*(x^2-17*x-16) / ((x^2-8*x-1)*(x^2+8*x-1)). - Colin Barker, Nov 07 2013

MATHEMATICA

Numerator[Convergents[Sqrt[272], 30]] (* Vincenzo Librandi, Nov 03 2013 *)

CROSSREFS

Cf. A041511.

Sequence in context: A041506 A041508 A144533 * A070590 A132370 A185467

Adjacent sequences:  A041507 A041508 A041509 * A041511 A041512 A041513

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 October 18 13:31 EDT 2019. Contains 328161 sequences. (Running on oeis4.)