A041424 Numerators of continued fraction convergents to sqrt(228).

15, 151, 4545, 45601, 1372575, 13771351, 414513105, 4158902401, 125181585135, 1255974753751, 37804424197665, 379300216730401, 11416810926109695, 114547409477827351, 3447839095260930225

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,302,0,-1).

Formula

G.f.: -(x^3-15*x^2-151*x-15)/(x^4-302*x^2+1). - Vincenzo Librandi, Nov 02 2013

Mathematica

Numerator[Convergents[Sqrt[228], 30]] (* Vincenzo Librandi, Nov 01 2013 *)
CoefficientList[Series[-(x^3 - 15 x^2 - 151 x - 15)/(x^4 - 302 x^2 + 1), {x, 0, 30}], x] (* Vincenzo Librandi, Nov 02 2013 *)

Crossrefs

Cf. A041425.

Sequence in context: A206366 A016103 A206361 * A021124 A004322 A125403

Adjacent sequences: A041421 A041422 A041423 * A041425 A041426 A041427

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Status

approved