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A041436 Numerators of continued fraction convergents to sqrt(234). 2
15, 46, 107, 153, 413, 566, 1545, 5201, 157575, 477926, 1113427, 1591353, 4296133, 5887486, 16071105, 54100801, 1639095135, 4971386206, 11581867547, 16553253753, 44688375053, 61241628806, 167171632665, 562756526801, 17049867436695, 51712358836886 (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 (0,0,0,0,0,0,0,10402,0,0,0,0,0,0,0,-1).

FORMULA

G.f.: -(x^15 -15*x^14 +46*x^13 -107*x^12 +153*x^11 -413*x^10 +566*x^9 -1545*x^8 -5201*x^7 -1545*x^6 -566*x^5 -413*x^4 -153*x^3 -107*x^2 -46*x -15) / ((x^4 -10*x^2 -1)*(x^4 +10*x^2 -1)*(x^8 +102*x^4 +1)). - Colin Barker, Nov 17 2013

MATHEMATICA

Numerator[Convergents[Sqrt[234], 30]] (* Vincenzo Librandi, Nov 01 2013 *)

CROSSREFS

Cf. A041437, A040218.

Sequence in context: A041434 A136430 A139278 * A219885 A042007 A269013

Adjacent sequences:  A041433 A041434 A041435 * A041437 A041438 A041439

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 17 2013

STATUS

approved

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Last modified February 16 12:48 EST 2019. Contains 320163 sequences. (Running on oeis4.)