A041338 Numerators of continued fraction convergents to sqrt(183).

13, 14, 27, 230, 257, 487, 12919, 13406, 26325, 224006, 250331, 474337, 12583093, 13057430, 25640523, 218181614, 243822137, 462003751, 12255919663, 12717923414, 24973843077, 212508668030, 237482511107, 449991179137, 11937253168669, 12387244347806

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,974,0,0,0,0,0,-1).

Formula

G.f.: -(x^11-13*x^10+14*x^9-27*x^8+230*x^7-257*x^6-487*x^5-257*x^4-230*x^3-27*x^2-14*x-13) / (x^12-974*x^6+1). - Colin Barker, Nov 06 2013

Mathematica

Numerator[Convergents[Sqrt[183], 30]] (* Vincenzo Librandi, Nov 01 2013 *)
LinearRecurrence[{0, 0, 0, 0, 0, 974, 0, 0, 0, 0, 0, -1}, {13, 14, 27, 230, 257, 487, 12919, 13406, 26325, 224006, 250331, 474337}, 30] (* Harvey P. Dale, Nov 10 2017 *)

Crossrefs

Cf. A041339.

Sequence in context: A041342 A041344 A041340 * A042411 A167996 A308122

Adjacent sequences: A041335 A041336 A041337 * A041339 A041340 A041341

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 06 2013

Status

approved