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Denominators of continued fraction convergents to sqrt(566).
2

%I #16 Mar 19 2017 09:39:00

%S 1,1,4,5,19,24,43,368,411,9410,9821,87978,97799,185777,655130,840907,

%T 3177851,4018758,188040719,192059477,764219150,956278627,3633055031,

%U 4589333658,8222388689,70368443170,78590831859,1799366744068,1877957575927,16823027351484

%N Denominators of continued fraction convergents to sqrt(566).

%H Vincenzo Librandi, <a href="/A042085/b042085.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_36">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 191218570, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

%F a(n) = 191218570*a(n-18) - a(n-36) for n>35. - _Vincenzo Librandi_, Jan 14 2014

%t Denominator[Convergents[Sqrt[566], 30]] (* _Harvey P. Dale_, Apr 29 2012 *)

%Y Cf. A042084.

%K nonn,frac,easy

%O 0,3

%A _N. J. A. Sloane_.

%E More terms from _Vincenzo Librandi_, Jan 14 2014