A041990 Numerators of continued fraction convergents to sqrt(518).

22, 23, 91, 569, 1798, 2367, 105946, 108313, 430885, 2693623, 8511754, 11205377, 501548342, 512753719, 2039809499, 12751610713, 40294641638, 53046252351, 2374329745082, 2427375997433, 9656457737381, 60366122421719, 190754825002538, 251120947424257

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, 4734, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^11-22*x^10+23*x^9-91*x^8+569*x^7-1798*x^6-2367*x^5-1798*x^4-569*x^3-91*x^2-23*x-22) / (x^12-4734*x^6+1). - Colin Barker, Nov 28 2013

Mathematica

Numerator[Convergents[Sqrt[518], 30]] (* Vincenzo Librandi, Nov 13 2013 *)

Crossrefs

Cf. A041991, A040495.

Sequence in context: A041982 A252912 A041992 * A041996 A041994 A041998

Adjacent sequences: A041987 A041988 A041989 * A041991 A041992 A041993

Keyword

nonn,cofr,frac,easy,less

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 28 2013

Status

approved