A041388 Numerators of continued fraction convergents to sqrt(209).

14, 29, 159, 506, 1171, 4019, 21266, 46551, 1324694, 2695939, 14804389, 47109106, 109022601, 374176909, 1979907146, 4333991201, 123331660774, 250997312749, 1378318224519, 4385951986306, 10150222197131, 34836618577699, 184333315085626, 403503248748951

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,93102,0,0,0,0,0,0,0,-1).

Formula

G.f.: -(x^15 -14*x^14 +29*x^13 -159*x^12 +506*x^11 -1171*x^10 +4019*x^9 -21266*x^8 -46551*x^7 -21266*x^6 -4019*x^5 -1171*x^4 -506*x^3 -159*x^2 -29*x -14) / (x^16 -93102*x^8 +1). - Colin Barker, Nov 10 2013

Mathematica

Numerator[Convergents[Sqrt[209], 30]] (* Vincenzo Librandi, Nov 01 2013 *)

Crossrefs

Cf. A041389.

Sequence in context: A263119 A196305 A041386 * A042617 A041390 A240823

Adjacent sequences: A041385 A041386 A041387 * A041389 A041390 A041391

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 10 2013

Status

approved