A041846 Numerators of continued fraction convergents to sqrt(445).

21, 211, 232, 443, 4662, 196247, 1967132, 2163379, 4130511, 43468489, 1829807049, 18341538979, 20171346028, 38512885007, 405300196098, 17061121121123, 171016511407328, 188077632528451, 359094143935779, 3779019071886241, 159077895163157901

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, 9324, 0, 0, 0, 0, 1).

Formula

G.f.: -(x^9-21*x^8+211*x^7-232*x^6+443*x^5+4662*x^4+443*x^3+232*x^2+211*x+21) / (x^10+9324*x^5-1). - Colin Barker, Nov 26 2013

Mathematica

Numerator[Convergents[Sqrt[445], 30]] (* Vincenzo Librandi, Nov 10 2013 *)
LinearRecurrence[{0, 0, 0, 0, 9324, 0, 0, 0, 0, 1}, {21, 211, 232, 443, 4662, 196247, 1967132, 2163379, 4130511, 43468489}, 30] (* Harvey P. Dale, Oct 16 2020 *)

Crossrefs

Cf. A041847, A040423.

Sequence in context: A010937 A022616 A133355 * A120786 A053063 A060933

Adjacent sequences: A041843 A041844 A041845 * A041847 A041848 A041849

Keyword

nonn,cofr,frac,easy,less

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 26 2013

Status

approved