A041896 Numerators of continued fraction convergents to sqrt(470).

21, 22, 65, 542, 1149, 1691, 72171, 73862, 219895, 1833022, 3885939, 5718961, 244082301, 249801262, 743684825, 6199279862, 13142244549, 19341524411, 825486269811, 844827794222, 2515141858255, 20965962660262, 44447067178779, 65413029839041, 2791794320418501

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, 3382, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^11 -21*x^10 +22*x^9 -65*x^8 +542*x^7 -1149*x^6 -1691*x^5 -1149*x^4 -542*x^3 -65*x^2 -22*x -21) / (x^12 -3382*x^6 +1). - Colin Barker, Nov 27 2013

Mathematica

Numerator[Convergents[Sqrt[470], 30]]  (* Vincenzo Librandi, Nov 11 2013 *)

Crossrefs

Cf. A041897, A040448.

Sequence in context: A041900 A041902 A041898 * A041906 A041904 A041908

Adjacent sequences: A041893 A041894 A041895 * A041897 A041898 A041899

Keyword

nonn,cofr,frac,easy,less

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 27 2013

Status

approved