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A042786 Numerators of continued fraction convergents to sqrt(924). 2
30, 61, 91, 152, 2219, 2371, 4590, 11551, 697650, 1406851, 2104501, 3511352, 51263429, 54774781, 106038210, 266851201, 16117110270, 32501071741, 48618182011, 81119253752, 1184287734539, 1265406988291, 2449694722830, 6164796433951, 372337480759890 (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, 23102, 0, 0, 0, 0, 0, 0, 0, -1).

FORMULA

G.f.: -(x^15 -30*x^14 +61*x^13 -91*x^12 +152*x^11 -2219*x^10 +2371*x^9 -4590*x^8 -11551*x^7 -4590*x^6 -2371*x^5 -2219*x^4 -152*x^3 -91*x^2 -61*x -30) / ((x^8 -152*x^4 +1)*(x^8 +152*x^4 +1)). - Colin Barker, Dec 23 2013

MAPLE

convert(sqrt(924), confrac, 30, cvgts): numer(cvgts); # Wesley Ivan Hurt, Dec 23 2013

MATHEMATICA

Numerator[Convergents[Sqrt[924], 30]] (* Vincenzo Librandi, Dec 04 2013 *)

CROSSREFS

Cf. A042787, A040893.

Sequence in context: A258879 A053014 A042784 * A042782 A042780 A042788

Adjacent sequences:  A042783 A042784 A042785 * A042787 A042788 A042789

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Dec 23 2013

STATUS

approved

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Last modified April 20 03:36 EDT 2019. Contains 322294 sequences. (Running on oeis4.)