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A041524 Numerators of continued fraction convergents to sqrt(279). 2
16, 17, 50, 117, 167, 451, 1069, 1520, 49709, 51229, 152167, 355563, 507730, 1371023, 3249776, 4620799, 151115344, 155736143, 462587630, 1080911403, 1543499033, 4167909469, 9879317971, 14047227440, 459390596051, 473437823491, 1406266243033, 3285970309557 (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, 0, 0, 3040, 0, 0, 0, 0, 0, 0, 0, -1).

FORMULA

G.f.: -(x^15 -16*x^14 +17*x^13 -50*x^12 +117*x^11 -167*x^10 +451*x^9 -1069*x^8 -1520*x^7 -1069*x^6 -451*x^5 -167*x^4 -117*x^3 -50*x^2 -17*x -16) / (x^16 -3040*x^8 +1). - Colin Barker, Nov 08 2013

MATHEMATICA

Numerator[Convergents[Sqrt[279], 30]] (* Harvey P. Dale, Apr 11 2012 *)

CROSSREFS

Cf. A041525.

Sequence in context: A115942 A052059 A041526 * A042205 A041522 A097221

Adjacent sequences:  A041521 A041522 A041523 * A041525 A041526 A041527

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 February 21 15:11 EST 2019. Contains 320374 sequences. (Running on oeis4.)