A041436 Numerators of continued fraction convergents to sqrt(234).

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

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