A041786 Numerators of continued fraction convergents to sqrt(414).

20, 41, 61, 468, 997, 7447, 8444, 24335, 981844, 1988023, 2969867, 22777092, 48524051, 362445449, 410969500, 1184384449, 47786347460, 96757079369, 144543426829, 1108561067172, 2361665561173, 17640219995383, 20001885556556, 57643991108495, 2325761529896356

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, 48670, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^15 -20*x^14 +41*x^13 -61*x^12 +468*x^11 -997*x^10 +7447*x^9 -8444*x^8 -24335*x^7 -8444*x^6 -7447*x^5 -997*x^4 -468*x^3 -61*x^2 -41*x -20) / (x^16 -48670*x^8 +1). - Colin Barker, Nov 24 2013

Mathematica

Numerator[Convergents[Sqrt[414], 30]] (* Harvey P. Dale, Sep 17 2011 *)

Crossrefs

Cf. A041787, A040393.

Sequence in context: A347368 A041790 A041788 * A195148 A171389 A038639

Adjacent sequences: A041783 A041784 A041785 * A041787 A041788 A041789

Keyword

nonn,cofr,frac,easy,less

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 24 2013

Status

approved