A041282 Numerators of continued fraction convergents to sqrt(154).

12, 25, 62, 211, 273, 757, 1030, 3847, 8724, 21295, 519804, 1060903, 2641610, 8985733, 11627343, 32240419, 43867762, 163843705, 371555172, 906954049, 22138452348, 45183858745, 112506169838, 382702368259, 495208538097, 1373119444453, 1868327982550

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,42590,0,0,0,0,0,0,0,0,0,-1).

Formula

G.f.: -(x^19 -12*x^18 +25*x^17 -62*x^16 +211*x^15 -273*x^14 +757*x^13 -1030*x^12 +3847*x^11 -8724*x^10 -21295*x^9 -8724*x^8 -3847*x^7 -1030*x^6 -757*x^5 -273*x^4 -211*x^3 -62*x^2 -25*x -12) / (x^20 -42590*x^10 +1). - Colin Barker, Nov 10 2013

Mathematica

Numerator[Convergents[Sqrt[154], 30]] (* Vincenzo Librandi, Nov 01 2013 *)

Crossrefs

Cf. A041283.

Sequence in context: A058848 A292493 A042869 * A195116 A041284 A171069

Adjacent sequences: A041279 A041280 A041281 * A041283 A041284 A041285

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 10 2013

Status

approved