A041262 Numerators of continued fraction convergents to sqrt(143).

11, 12, 275, 287, 6589, 6876, 157861, 164737, 3782075, 3946812, 90611939, 94558751, 2170904461, 2265463212, 52011095125, 54276558337, 1246095378539, 1300371936876, 29854277989811, 31154649926687

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,24,0,-1).

Formula

G.f.: (11+12*x+11*x^2-x^3)/(1-24*x^2+x^4). - Vincenzo Librandi, Nov 01 2013

a(n) = 24*a(n-2)-a(n-4). - Vincenzo Librandi, Nov 01 2013

Mathematica

Numerator[Convergents[Sqrt[143], 30]] (* or *) CoefficientList[Series[(11 + 12 x + 11 x^2 - x^3)/(1 - 24 x^2 + x^4), {x, 0, 30}], x] (* Vincenzo Librandi, Oct 31 2013 *)

Prog

(Magma) I:=[11, 12, 275, 287]; [n le 4 select I[n] else 24*Self(n-2)-Self(n-4): n in [1..25]]; // Vincenzo Librandi, Nov 01 2013

Crossrefs

Cf. A041263.

Sequence in context: A041260 A109665 A041261 * A262515 A041607 A042097

Adjacent sequences: A041259 A041260 A041261 * A041263 A041264 A041265

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Status

approved