A041680 Numerators of continued fraction convergents to sqrt(359).

18, 19, 341, 360, 13301, 13661, 245538, 259199, 9576702, 9835901, 176787019, 186622920, 6895212139, 7081835059, 127286408142, 134368243201, 4964543163378, 5098911406579, 91646037075221

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,720,0,0,0,-1).

Formula

G.f.: (18 +19*x +341*x^2 +360*x^3 +341*x^4 -19*x^5 +18*x^6 -x^7) / (1 -720*x^4 +x^8). [Bruno Berselli, Nov 06 2013]

Mathematica

Numerator[Convergents[Sqrt[359], 30]] (* Vincenzo Librandi, Nov 06 2013 *)
LinearRecurrence[{0, 0, 0, 720, 0, 0, 0, -1}, {18, 19, 341, 360, 13301, 13661, 245538, 259199}, 20] (* Bruno Berselli, Nov 06 2013 *)

Crossrefs

Cf. A041681.

Sequence in context: A041678 A197352 A056083 * A041681 A041682 A265946

Adjacent sequences: A041677 A041678 A041679 * A041681 A041682 A041683

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Status

approved