A041702 Numerators of continued fraction convergents to sqrt(371).

19, 58, 77, 366, 443, 1695, 64853, 196254, 261107, 1240682, 1501789, 5746049, 219851651, 665301002, 885152653, 4205911614, 5091064267, 19479104415, 745297032037, 2255370200526, 3000667232563, 14258039130778, 17258706363341, 66034158220801, 2526556718753779

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,3390,0,0,0,0,0,-1).

Formula

G.f.: -(x^11 -19*x^10 +58*x^9 -77*x^8 +366*x^7 -443*x^6 -1695*x^5 -443*x^4 -366*x^3 -77*x^2 -58*x -19) / (x^12 -3390*x^6 +1). - Colin Barker, Nov 09 2013

Mathematica

Numerator[Convergents[Sqrt[371], 30]] (* Vincenzo Librandi, Nov 07 2013 *)

Crossrefs

Cf. A041703.

Sequence in context: A176413 A263336 A061973 * A041704 A041706 A042619

Adjacent sequences: A041699 A041700 A041701 * A041703 A041704 A041705

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 09 2013

Status

approved