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
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).
Programs
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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