A041198 Numerators of continued fraction convergents to sqrt(110).

10, 21, 430, 881, 18050, 36981, 757670, 1552321, 31804090, 65160501, 1335014110, 2735188721, 56038788530, 114812765781, 2352294104150, 4819400974081, 98740313585770, 202300028145621, 4144740876498190, 8491781781142001, 173980376499338210, 356452534779818421

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..100

Index entries for linear recurrences with constant coefficients, signature (0,42,0,-1).

Formula

G.f.: -(x+1)*(x^2-11*x-10) / (x^4-42*x^2+1). - Colin Barker, Nov 05 2013

a(0)=10, a(1)=21, a(2)=430, a(3)=881, a(n)=42*a(n-2)-a(n-4). - Harvey P. Dale, Mar 04 2015

Mathematica

Numerator[Convergents[Sqrt[110], 30]] (* Vincenzo Librandi, Oct 30 2013 *)
LinearRecurrence[{0, 42, 0, -1}, {10, 21, 430, 881}, 30] (* Harvey P. Dale, Mar 04 2015 *)

Crossrefs

Cf. A041199.

Sequence in context: A336759 A368635 A336748 * A035318 A039821 A109326

Adjacent sequences: A041195 A041196 A041197 * A041199 A041200 A041201

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 05 2013

Status

approved