A042010 Numerators of continued fraction convergents to sqrt(528).

22, 23, 1034, 1057, 47542, 48599, 2185898, 2234497, 100503766, 102738263, 4620987338, 4723725601, 212464913782, 217188639383, 9768765046634, 9985953686017, 449150727231382, 459136680917399

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,46,0,-1).

Formula

G.f.: -(x^3-22*x^2-23*x-22)/(x^4-46*x^2+1). - Vincenzo Librandi, Nov 13 2013

a(n) = 46*a(n-2)-a(n-4). - Vincenzo Librandi, Nov 13 2013

Mathematica

Numerator[Convergents[Sqrt[528], 30]] (* or *) CoefficientList[Series[-(x^3 - 22 x^2 - 23 x - 22)/(x^4 - 46 x^2 + 1), {x, 0, 30}], x] (* Vincenzo Librandi, Nov 13 2013 *)

Prog

(Magma) I:=[22, 23, 1034, 1057]; [n le 4 select I[n] else 46*Self(n-2)-Self(n-4): n in [1..25]]; // Vincenzo Librandi, Nov 13 2013

Crossrefs

Cf. A042011.

Sequence in context: A042006 A042008 A042009 * A162334 A165483 A067189

Adjacent sequences: A042007 A042008 A042009 * A042011 A042012 A042013

Keyword

nonn,cofr,frac,easy,less

Author

N. J. A. Sloane.

Status

approved