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

0,3

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).

Formula

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). [Colin Barker, Jul 18 2012]

Mathematica

Denominator[Convergents[Sqrt[57], 30]] (* Vincenzo Librandi, Oct 24 2013 *)

Crossrefs

Cf. A010510, A041098.

Sequence in context: A049343 A131140 A022114 * A041581 A042463 A081613

Adjacent sequences: A041096 A041097 A041098 * A041100 A041101 A041102

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Status

approved