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A041592 Numerators of continued fraction convergents to sqrt(314). 2
17, 18, 53, 71, 124, 319, 443, 15381, 15824, 47029, 62853, 109882, 282617, 392499, 13627583, 14020082, 41667747, 55687829, 97355576, 250398981, 347754557, 12074053919, 12421808476, 36917670871, 49339479347, 86257150218, 221853779783, 308110930001 (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 (0,0,0,0,0,0,886,0,0,0,0,0,0,1).

FORMULA

G.f.: -(x^13 -17*x^12 +18*x^11 -53*x^10 +71*x^9 -124*x^8 +319*x^7 +443*x^6 +319*x^5 +124*x^4 +71*x^3 +53*x^2 +18*x +17) / (x^14 +886*x^7 -1). - Colin Barker, Nov 09 2013

MATHEMATICA

Numerator[Convergents[Sqrt[314], 30]] (* Vincenzo Librandi, Nov 04 2013 *)

LinearRecurrence[{0, 0, 0, 0, 0, 0, 886, 0, 0, 0, 0, 0, 0, 1}, {17, 18, 53, 71, 124, 319, 443, 15381, 15824, 47029, 62853, 109882, 282617, 392499}, 30] (* Harvey P. Dale, Oct 19 2016 *)

CROSSREFS

Cf. A041593.

Sequence in context: A041582 A041580 A041578 * A041594 A041590 A041596

Adjacent sequences:  A041589 A041590 A041591 * A041593 A041594 A041595

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 09 2013

STATUS

approved

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Last modified February 17 19:35 EST 2019. Contains 320222 sequences. (Running on oeis4.)