A041380 Numerators of continued fraction convergents to sqrt(205).

14, 43, 272, 315, 1532, 1847, 12614, 39689, 1123906, 3411407, 21592348, 25003755, 121607368, 146611123, 1001274106, 3150433441, 89213410454, 270790664803, 1713957399272, 1984748064075, 9652949655572, 11637697719647, 79479135973454, 250075105640009

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,79378,0,0,0,0,0,0,0,-1).

Formula

G.f.: -(x^15 -14*x^14 +43*x^13 -272*x^12 +315*x^11 -1532*x^10 +1847*x^9 -12614*x^8 -39689*x^7 -12614*x^6 -1847*x^5 -1532*x^4 -315*x^3 -272*x^2 -43*x -14) / (x^16-79378*x^8 +1). - Colin Barker, Nov 10 2013

Mathematica

Numerator[Convergents[Sqrt[205], 30]] (* Vincenzo Librandi, Nov 01 2013 *)

Crossrefs

Cf. A041381.

Sequence in context: A041378 A302219 A302665 * A151990 A156166 A064125

Adjacent sequences: A041377 A041378 A041379 * A041381 A041382 A041383

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 10 2013

Status

approved