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A042455 Denominators of continued fraction convergents to sqrt(755). 2

%I #18 Sep 07 2018 19:19:41

%S 1,2,21,44,2397,4838,50777,106392,5795945,11698282,122778765,

%T 257255812,14014592613,28286441038,296879002993,622044447024,

%U 33887279142289,68396602731602,717853306458309,1504103215648220,81939426951462189,165382957118572598

%N Denominators of continued fraction convergents to sqrt(755).

%H Vincenzo Librandi, <a href="/A042455/b042455.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 2418, 0, 0, 0, -1).

%F G.f.: -(x^2-2*x-1)*(x^4+22*x^2+1) / (x^8-2418*x^4+1). - _Colin Barker_, Dec 14 2013

%t Denominator[Convergents[Sqrt[755], 30]] (* _Vincenzo Librandi_, Jan 22 2014 *)

%t LinearRecurrence[{0,0,0,2418,0,0,0,-1},{1,2,21,44,2397,4838,50777,106392},30] (* _Harvey P. Dale_, Sep 07 2018 *)

%Y Cf. A042454, A040727.

%K nonn,frac,easy

%O 0,2

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Dec 14 2013

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Last modified April 24 17:29 EDT 2024. Contains 371962 sequences. (Running on oeis4.)