A041738 Numerators of continued fraction convergents to sqrt(389).

19, 20, 59, 79, 138, 217, 355, 927, 1282, 49643, 50925, 151493, 202418, 353911, 556329, 910240, 2376809, 3287049, 127284671, 130571720, 388428111, 518999831, 907427942, 1426427773, 2333855715, 6094139203, 8427994918, 326357946087, 334785941005, 995929828097

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, 2564, 0, 0, 0, 0, 0, 0, 0, 0, 1).

Formula

G.f.: -(x^17 -19*x^16 +20*x^15 -59*x^14 +79*x^13 -138*x^12 +217*x^11 -355*x^10 +927*x^9 +1282*x^8 +927*x^7 +355*x^6 +217*x^5 +138*x^4 +79*x^3 +59*x^2 +20*x +19) / (x^18 +2564*x^9 -1). - Colin Barker, Nov 11 2013

Mathematica

Numerator[Convergents[Sqrt[389], 30]] (* Vincenzo Librandi, Nov 07 2013 *)

Crossrefs

Cf. A041739.

Sequence in context: A041726 A041724 A041722 * A041740 A041736 A041734

Adjacent sequences: A041735 A041736 A041737 * A041739 A041740 A041741

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 11 2013

Status

approved