A041216 Numerators of continued fraction convergents to sqrt(119).

10, 11, 109, 120, 2509, 2629, 26170, 28799, 602150, 630949, 6280691, 6911640, 144513491, 151425131, 1507339670, 1658764801, 34682635690, 36341400491, 361755240109, 398096640600, 8323688052109, 8721784692709

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,240,0,0,0,-1).

Formula

G.f.: (10 +11*x +109*x^2 +120*x^3 +109*x^4 -11*x^5 +10*x^6 -x^7) / (1 -240*x^4 +x^8). [Bruno Berselli, Oct 31 2013]

Mathematica

Numerator[Convergents[Sqrt[119], 30]] (* Vincenzo Librandi, Oct 31 2013 *)
LinearRecurrence[{0, 0, 0, 240, 0, 0, 0, -1}, {10, 11, 109, 120, 2509, 2629, 26170, 28799}, 30] (* Bruno Berselli, Oct 31 2013 *)

Prog

(Magma) m:=30; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!((10+11*x+109*x^2+120*x^3+109*x^4-11*x^5+10*x^6-x^7)/(1-240*x^4+x^8))); // Bruno Berselli, Oct 31 2013

Crossrefs

Cf. A041217.

Sequence in context: A171000 A346821 A222365 * A094026 A035526 A164370

Adjacent sequences: A041213 A041214 A041215 * A041217 A041218 A041219

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Status

approved