A042480 Numerators of continued fraction convergents to sqrt(768).

27, 28, 83, 194, 2605, 5404, 13413, 18817, 1029531, 1048348, 3126227, 7300802, 98036653, 203374108, 504784869, 708158977, 38745369627, 39453528604, 117652426835, 274758382274, 3689511396397, 7653781175068, 18997073746533, 26650854921601, 1458143239512987

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, 37634, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^15 -27*x^14 +28*x^13 -83*x^12 +194*x^11 -2605*x^10 +5404*x^9 -13413*x^8 -18817*x^7 -13413*x^6 -5404*x^5 -2605*x^4 -194*x^3 -83*x^2 -28*x -27) / ((x^2 -4*x +1)*(x^2 +4*x +1)*(x^4 +14*x^2 +1)*(x^8 +194*x^4 +1)). - Colin Barker, Dec 15 2013

Mathematica

Numerator[Convergents[Sqrt[768], 30]] (* Harvey P. Dale, Oct 28 2013 *)

Crossrefs

Cf. A042481, A040740.

Sequence in context: A242184 A042482 A042484 * A042478 A042476 A045861

Adjacent sequences: A042477 A042478 A042479 * A042481 A042482 A042483

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 15 2013

Status

approved