A041356 Numerators of continued fraction convergents to sqrt(192).

13, 14, 83, 97, 2605, 2702, 16115, 18817, 505357, 524174, 3126227, 3650401, 98036653, 101687054, 606471923, 708158977, 19018605325, 19726764302, 117652426835, 137379191137, 3689511396397, 3826890587534, 22823964334067, 26650854921601, 715746192295693

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,194,0,0,0,-1).

Formula

G.f.: -(x^7-13*x^6+14*x^5-83*x^4-97*x^3-83*x^2-14*x-13) / ((x^2-4*x+1)*(x^2+4*x+1)*(x^4+14*x^2+1)). - Colin Barker, Nov 07 2013

Mathematica

Numerator[Convergents[Sqrt[192], 30]] (* Vincenzo Librandi, Nov 01 2013 *)
LinearRecurrence[{0, 0, 0, 194, 0, 0, 0, -1}, {13, 14, 83, 97, 2605, 2702, 16115, 18817}, 30] (* Harvey P. Dale, Sep 01 2021 *)

Crossrefs

Cf. A041357.

Sequence in context: A329650 A041352 A041354 * A103868 A041358 A033049

Adjacent sequences: A041353 A041354 A041355 * A041357 A041358 A041359

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 07 2013

Status

approved