A041064 Numerators of continued fraction convergents to sqrt(39).

6, 25, 306, 1249, 15294, 62425, 764394, 3120001, 38204406, 155937625, 1909455906, 7793761249, 95434590894, 389532124825, 4769820088794, 19468812480001, 238395569848806, 973051091875225, 11915008672351506

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• cofr
• frac
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..100
• Index entries for linear recurrences with constant coefficients, signature (0,50,0,-1).

Crossrefs

Cf. A041065, A010493.

Programs

Mathematica

Table[Numerator[FromContinuedFraction[ContinuedFraction[Sqrt[39],n]]],{n,1,50}] (* Vladimir Joseph Stephan Orlovsky, Mar 21 2011*)
Numerator[Convergents[Sqrt[39], 30]] (* Vincenzo Librandi, Oct 29 2013 *)

Formula

G.f.: -(x^3-6*x^2-25*x-6) / (x^4-50*x^2+1). - Colin Barker, Nov 04 2013