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%I #12 Sep 08 2022 08:44:55
%S 1,5,6,29,64,477,541,4264,9069,40540,49609,288585,16787539,84226280,
%T 101013819,488281556,1077576931,8031320073,9108897004,71793599101,
%U 152696095206,682577979925,835274075131,4858948355580,282654278698771,1418130341849435
%N Denominators of continued fraction convergents to sqrt(851).
%H Vincenzo Librandi, <a href="/A042643/b042643.txt">Table of n, a(n) for n = 0..200</a>
%H <a href="/index/Rec#order_24">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16837148, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).
%F a(n) = 16837148*a(n-12) - a(n-24) for n>23. - _Vincenzo Librandi_, Jan 26 2014
%t Denominator[Convergents[Sqrt[851], 30]] (* _Vincenzo Librandi_, Jan 26 2014 *)
%o (Magma) I:=[1,5,6,29,64,477,541,4264,9069,40540,49609, 288585,16787539,84226280,101013819,488281556,1077576931, 8031320073,9108897004,71793599101,152696095206, 682577979925,835274075131,4858948355580]; [n le 24 select I[n] else 16837148*Self(n-12)-Self(n-24): n in [1..40]]; // _Vincenzo Librandi_, Jan 26 2014
%Y Cf. A040821, A042642.
%K nonn,frac,easy
%O 0,2
%A _N. J. A. Sloane_.
%E More terms from _Vincenzo Librandi_, Jan 26 2014