A041868 Numerators of continued fraction convergents to sqrt(456).

21, 43, 64, 299, 363, 1025, 43413, 87851, 131264, 612907, 744171, 2101249, 88996629, 180094507, 269091136, 1256459051, 1525550187, 4307559425, 182443046037, 369193651499, 551636697536, 2575740441643, 3127377139179, 8830494720001, 374008155379221

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,2050,0,0,0,0,0,-1).

Formula

G.f.: -(x^11 -21*x^10 +43*x^9 -64*x^8 +299*x^7 -363*x^6 -1025*x^5 -363*x^4 -299*x^3 -64*x^2 -43*x -21) / (x^12 -2050*x^6 +1). - Colin Barker, Nov 26 2013

Mathematica

Numerator[Convergents[Sqrt[456], 30]]  (* Vincenzo Librandi, Nov 11 2013 *)
LinearRecurrence[{0, 0, 0, 0, 0, 2050, 0, 0, 0, 0, 0, -1}, {21, 43, 64, 299, 363, 1025, 43413, 87851, 131264, 612907, 744171, 2101249}, 30] (* Harvey P. Dale, Sep 06 2024 *)

Crossrefs

Cf. A041869, A040434.

Sequence in context: A335477 A263877 A041870 * A135391 A118569 A195049

Adjacent sequences: A041865 A041866 A041867 * A041869 A041870 A041871

Keyword

nonn,cofr,frac,easy,less

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 26 2013

Status

approved