A042786 Numerators of continued fraction convergents to sqrt(924).

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

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