A041428 Numerators of continued fraction convergents to sqrt(230).

15, 91, 2745, 16561, 499575, 3014011, 90919905, 548533441, 16546923135, 99830072251, 3011449090665, 18168524616241, 548067187577895, 3306571650083611, 99745216690086225, 601777871790600961

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (0,182,0,-1).

Formula

G.f.: -(x^3 -15*x^2 -91*x -15)/(x^4 -182*x^2 +1). - Vincenzo Librandi, Nov 02 2013

Mathematica

Numerator[Convergents[Sqrt[230], 20]] (* Harvey P. Dale, Jun 12 2012 *)
CoefficientList[Series[-(x^3 - 15 x^2 - 91 x - 15)/(x^4 -182 x^2 + 1), {x, 0, 30}], x] (* Vincenzo Librandi, Nov 02 2013 *)

Crossrefs

Cf. A041429.

Sequence in context: A367243 A180248 A329759 * A052226 A108684 A125325

Adjacent sequences: A041425 A041426 A041427 * A041429 A041430 A041431

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Status

approved