A042016 Numerators of continued fraction convergents to sqrt(532).

23, 346, 715, 1061, 4959, 10979, 48875, 59854, 168583, 2588599, 119244137, 1791250654, 3701745445, 5492996099, 25673729841, 56840455781, 253035552965, 309876008746, 872787570457, 13401689565601, 617350507588103, 9273659303387146, 19164669114362395

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,5177198,0,0,0,0,0,0,0,0,0,-1).

Formula

G.f.: -(x^19 -23*x^18 +346*x^17 -715*x^16 +1061*x^15 -4959*x^14 +10979*x^13 -48875*x^12 +59854*x^11 -168583*x^10 -2588599*x^9 -168583*x^8 -59854*x^7 -48875*x^6 -10979*x^5 -4959*x^4 -1061*x^3 -715*x^2 -346*x -23) / (x^20 -5177198*x^10 +1). - Colin Barker, Nov 29 2013

Mathematica

Numerator[Convergents[Sqrt[532], 30]] (* Harvey P. Dale, Oct 14 2012 *)

Crossrefs

Cf. A042017, A040508.

Sequence in context: A111875 A028035 A077309 * A025976 A025989 A125480

Adjacent sequences: A042013 A042014 A042015 * A042017 A042018 A042019

Keyword

nonn,cofr,frac,easy,less

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 29 2013

Status

approved