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A041428 Numerators of continued fraction convergents to sqrt(230). 2
15, 91, 2745, 16561, 499575, 3014011, 90919905, 548533441, 16546923135, 99830072251, 3011449090665, 18168524616241, 548067187577895, 3306571650083611, 99745216690086225, 601777871790600961 (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 (0,182,0,-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: A020255 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

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Last modified December 1 18:36 EST 2022. Contains 358475 sequences. (Running on oeis4.)