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A041399 Denominators of continued fraction convergents to sqrt(214). 2

%I #11 Jul 16 2023 16:35:21

%S 1,1,2,3,8,27,35,167,1538,1705,3243,17920,57003,815962,2504889,

%T 13340407,15845296,29185703,278516623,1143252195,1421768818,

%U 5408558649,12238886116,17647444765,29886330881,47533775646,1360832048969,1408365824615,2769197873584

%N Denominators of continued fraction convergents to sqrt(214).

%H Vincenzo Librandi, <a href="/A041399/b041399.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_52">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, 0, 0, 0, 0, 0, 0, 0, 0, 1390718379850, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

%F a(n) = 1390718379850*a(n-26) - a(n-52) for n>51. - _Vincenzo Librandi_, Dec 17 2013

%t Denominator[Convergents[Sqrt[214], 30]] (* _Vincenzo Librandi_, Dec 17 2013 *)

%Y Cf. A041398.

%K nonn,frac,easy

%O 0,3

%A _N. J. A. Sloane_.

%E More terms from _Vincenzo Librandi_, Dec 17 2013

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