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A041099
Denominators of continued fraction convergents to sqrt(57).
2
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
0,3
LINKS
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)
MATHEMATICA
Denominator[Convergents[Sqrt[57], 30]] (* Vincenzo Librandi, Oct 24 2013 *)
CROSSREFS
Sequence in context: A049343 A131140 A022114 * A041581 A042463 A081613
KEYWORD
nonn,cofr,frac,easy
AUTHOR
STATUS
approved