A041874 Numerators of continued fraction convergents to sqrt(459).

21, 43, 107, 150, 707, 14997, 60695, 75692, 212079, 499850, 21205779, 42911408, 107028595, 149940003, 706788607, 14992500750, 60676791607, 75669292357, 212015376321, 499700044999, 21199417266279, 42898534577557, 106996486421393, 149895020998950

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, 999700, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^19 -21*x^18 +43*x^17 -107*x^16 +150*x^15 -707*x^14 +14997*x^13 -60695*x^12 +75692*x^11 -212079*x^10 -499850*x^9 -212079*x^8 -75692*x^7 -60695*x^6 -14997*x^5 -707*x^4 -150*x^3 -107*x^2 -43*x -21) / (x^20 -999700*x^10 +1). - Colin Barker, Nov 26 2013

Mathematica

Numerator[Convergents[Sqrt[459], 30]]  (* Vincenzo Librandi, Nov 11 2013 *)

Crossrefs

Cf. A041875, A040437.

Sequence in context: A135391 A118569 A195049 * A041872 A041876 A041878

Adjacent sequences: A041871 A041872 A041873 * A041875 A041876 A041877

Keyword

nonn,cofr,frac,easy,less

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 26 2013

Status

approved