A041422 Numerators of continued fraction convergents to sqrt(227).

15, 226, 6795, 102151, 3071325, 46172026, 1388232105, 20869653601, 627477840135, 9433037255626, 283618595508915, 4263711969889351, 128194977692189445, 1927188377352731026, 57943846298274120225

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,452,0,-1).

Formula

G.f.: (15 + 226*x + 15*x^2 - x^3)/(1 - 452*x^2 + x^4). [Bruno Berselli, Nov 02 2013]

Mathematica

Numerator[Convergents[Sqrt[227], 30]] (* Vincenzo Librandi, Nov 01 2013 *)
LinearRecurrence[{0, 452, 0, -1}, {15, 226, 6795, 102151}, 20] (* Bruno Berselli, Nov 02 2013 *)

Crossrefs

Cf. A041423.

Sequence in context: A364857 A067222 A154597 * A129836 A075262 A286722

Adjacent sequences: A041419 A041420 A041421 * A041423 A041424 A041425

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Status

approved