A041884 Numerators of continued fraction convergents to sqrt(464).

21, 22, 43, 237, 280, 517, 797, 4502, 5299, 9801, 416941, 426742, 843683, 4645157, 5488840, 10133997, 15622837, 88248182, 103871019, 192119201, 8172877461, 8364996662, 16537874123, 91054367277, 107592241400, 198646608677, 306238850077, 1729840859062

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, 0, 0, 0, 0, 19602, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^19 -21*x^18 +22*x^17 -43*x^16 +237*x^15 -280*x^14 +517*x^13 -797*x^12 +4502*x^11 -5299*x^10 -9801*x^9 -5299*x^8 -4502*x^7 -797*x^6 -517*x^5 -280*x^4 -237*x^3 -43*x^2 -22*x -21) / ((x^10 -140*x^5 -1)*(x^10 +140*x^5 -1)). - Colin Barker, Nov 26 2013

Mathematica

Numerator[Convergents[Sqrt[464], 30]]  (* Vincenzo Librandi, Nov 11 2013 *)

Crossrefs

Cf. A041885, A040442.

Sequence in context: A041894 A041888 A041886 * A041882 A286762 A301661

Adjacent sequences: A041881 A041882 A041883 * A041885 A041886 A041887

Keyword

nonn,cofr,frac,easy,less

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 26 2013

Status

approved