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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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified April 18 10:38 EDT 2019. Contains 322209 sequences. (Running on oeis4.)