A041732 Numerators of continued fraction convergents to sqrt(386).

19, 20, 39, 59, 275, 334, 6287, 6621, 32771, 39392, 72163, 111555, 4311253, 4422808, 8734061, 13156869, 61361537, 74518406, 1402692845, 1477211251, 7311537849, 8788749100, 16100286949, 24889036049, 961883656811, 986772692860, 1948656349671, 2935429042531

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,0,0,223110,0,0,0,0,0,0,0,0,0,0,0,-1).

Formula

G.f.: -(x^23 -19*x^22 +20*x^21 -39*x^20 +59*x^19 -275*x^18 +334*x^17 -6287*x^16 +6621*x^15 -32771*x^14 +39392*x^13 -72163*x^12 -111555*x^11 -72163*x^10 -39392*x^9 -32771*x^8 -6621*x^7 -6287*x^6 -334*x^5 -275*x^4 -59*x^3 -39*x^2 -20*x -19) / (x^24 -223110*x^12 +1). - Colin Barker, Nov 22 2013

Mathematica

Numerator[Convergents[Sqrt[386], 30]] (* Vincenzo Librandi, Nov 07 2013 *)

Crossrefs

Cf. A041733, A040366.

Sequence in context: A151979 A022109 A041730 * A041728 A041726 A041724

Adjacent sequences: A041729 A041730 A041731 * A041733 A041734 A041735

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 22 2013

Status

approved