A041099 Denominators of continued fraction convergents to sqrt(57).
1, 1, 2, 9, 11, 20, 291, 311, 602, 2719, 3321, 6040, 87881, 93921, 181802, 821129, 1002931, 1824060, 26539771, 28363831, 54903602, 247978239, 302881841, 550860080, 8014922961, 8565783041, 16580706002
Offset: 0
Links
- Vincenzo Librandi, Table of n, a(n) for n = 0..200
- Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,302,0,0,0,0,0,-1).
Programs
-
Mathematica
Denominator[Convergents[Sqrt[57], 30]] (* Vincenzo Librandi, Oct 24 2013 *)
Formula
From Colin Barker, Jul 18 2012: (Start)
a(n) = 302*a(n-6)-a(n-12).
G.f.: -(x^4-x^3+2*x^2+x+1)*(x^6-10*x^3-1)/(x^12-302*x^6+1). (End)