A041892 Numerators of continued fraction convergents to sqrt(468).

21, 22, 43, 65, 173, 238, 411, 649, 27669, 28318, 55987, 84305, 224597, 308902, 533499, 842401, 35914341, 36756742, 72671083, 109427825, 291526733, 400954558, 692481291, 1093435849, 46616786949, 47710222798, 94327009747, 142037232545, 378401474837

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,1298,0,0,0,0,0,0,0,-1).

Formula

G.f.: -(x^15 -21*x^14 +22*x^13 -43*x^12 +65*x^11 -173*x^10 +238*x^9 -411*x^8 -649*x^7 -411*x^6 -238*x^5 -173*x^4 -65*x^3 -43*x^2 -22*x -21) / ((x^8 -36*x^4 -1)*(x^8 +36*x^4 -1)). - Colin Barker, Nov 26 2013

Mathematica

Numerator[Convergents[Sqrt[468], 30]]  (* Vincenzo Librandi, Nov 11 2013 *)

Crossrefs

Cf. A041893, A040446.

Sequence in context: A160782 A022391 A041890 * A041894 A041888 A041886

Adjacent sequences: A041889 A041890 A041891 * A041893 A041894 A041895

Keyword

nonn,cofr,frac,easy,less

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 26 2013

Status

approved