A041268 Numerators of continued fraction convergents to sqrt(147).

12, 97, 2340, 18817, 453948, 3650401, 88063572, 708158977, 17083879020, 137379191137, 3314184466308, 26650854921601, 642934702584732, 5170128475599457, 124726018116971700, 1002978273411373057, 24196204579989925068, 194572614913330773601

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• cofr
• frac
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..200
• Index entries for linear recurrences with constant coefficients, signature (0, 194, 0, -1).

Crossrefs

Cf. A041269.

Programs

Mathematica

Numerator[Convergents[Sqrt[147], 30]] (* Vincenzo Librandi, Oct 31 2013 *)

Formula

G.f.: -(x^3-12*x^2-97*x-12) / ((x^2-14*x+1)*(x^2+14*x+1)). - Colin Barker, Nov 06 2013

Extensions

More terms from Colin Barker, Nov 06 2013