A041726 Numerators of continued fraction convergents to sqrt(383).

19, 20, 39, 137, 2642, 8063, 10705, 18768, 723889, 742657, 1466546, 5142295, 99170151, 302652748, 401822899, 704475647, 27171897485, 27876373132, 55048270617, 193021184983, 3722450785294, 11360373540865, 15082824326159, 26443197867024, 1019924343273071

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, 37536, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^15 -19*x^14 +20*x^13 -39*x^12 +137*x^11 -2642*x^10 +8063*x^9 -10705*x^8 -18768*x^7 -10705*x^6 -8063*x^5 -2642*x^4 -137*x^3 -39*x^2 -20*x -19) / (x^16 -37536*x^8 +1). - Colin Barker, Nov 11 2013

Mathematica

Numerator[Convergents[Sqrt[383], 30]] (* Vincenzo Librandi, Nov 07 2013 *)

Crossrefs

Cf. A041727.

Sequence in context: A041730 A041732 A041728 * A041724 A041722 A041738

Adjacent sequences: A041723 A041724 A041725 * A041727 A041728 A041729

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 11 2013

Status

approved