A041250 Numerators of continued fraction convergents to sqrt(137).

11, 12, 35, 82, 117, 199, 515, 1229, 1744, 39597, 41341, 122279, 285899, 408178, 694077, 1796332, 4286741, 6083073, 138114347, 144197420, 426509187, 997215794, 1423724981, 2420940775, 6265606531, 14952153837, 21217760368, 481742881933, 502960642301

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,3488,0,0,0,0,0,0,0,0,1).

Formula

G.f.: -(x^17 -11*x^16 +12*x^15 -35*x^14 +82*x^13 -117*x^12 +199*x^11 -515*x^10 +1229*x^9 +1744*x^8 +1229*x^7 +515*x^6 +199*x^5 +117*x^4 +82*x^3 +35*x^2 +12*x +11) / (x^18 +3488*x^9 -1). - Colin Barker, Nov 08 2013

Mathematica

Numerator[Convergents[Sqrt[137], 30]] (* Vincenzo Librandi, Oct 31 2013 *)

Crossrefs

Cf. A041251.

Sequence in context: A080138 A244068 A041252 * A225299 A290336 A300405

Adjacent sequences: A041247 A041248 A041249 * A041251 A041252 A041253

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 08 2013

Status

approved