A041516 Numerators of continued fraction convergents to sqrt(275).

16, 17, 33, 83, 116, 199, 6484, 6683, 13167, 33017, 46184, 79201, 2580616, 2659817, 5240433, 13140683, 18381116, 31521799, 1027078684, 1058600483, 2085679167, 5229958817, 7315637984, 12545596801, 408774735616, 421320332417, 830095068033, 2081510468483

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, 398, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^11 -16*x^10 +17*x^9 -33*x^8 +83*x^7 -116*x^6 -199*x^5 -116*x^4 -83*x^3 -33*x^2 -17*x -16) / ((x^6 -20*x^3 +1)*(x^6 +20*x^3 +1)). - Colin Barker, Nov 07 2013

Mathematica

Numerator[Convergents[Sqrt[275], 30]] (* Vincenzo Librandi, Nov 04 2013 *)

Crossrefs

Cf. A041517.

Sequence in context: A042195 A041520 A058542 * A041514 A041512 A267029

Adjacent sequences: A041513 A041514 A041515 * A041517 A041518 A041519

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 07 2013

Status

approved