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A041386 Numerators of continued fraction convergents to sqrt(208). 2

%I #12 Jun 13 2015 00:49:24

%S 14,29,72,101,274,649,18446,37541,93528,131069,355666,842401,23942894,

%T 48728189,121399272,170127461,461654194,1093435849,31077857966,

%U 63249151781,157576161528,220825313309,599226788146,1419278889601,40339035696974,82097350283549

%N Numerators of continued fraction convergents to sqrt(208).

%H Vincenzo Librandi, <a href="/A041386/b041386.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,1298,0,0,0,0,0,-1).

%F G.f.: -(x^11 -14*x^10 +29*x^9 -72*x^8 +101*x^7 -274*x^6 -649*x^5 -274*x^4 -101*x^3 -72*x^2 -29*x -14) / ((x^2 -3*x -1)*(x^2 +3*x -1)*(x^4 -3*x^3 +10*x^2 +3*x +1)*(x^4 +3*x^3 +10*x^2 -3*x +1)). - _Colin Barker_, Nov 07 2013

%t Numerator[Convergents[Sqrt[208], 30]] (* _Vincenzo Librandi_, Nov 01 2013 *)

%Y Cf. A041387.

%K nonn,cofr,frac,easy

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Nov 07 2013

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Last modified April 25 08:27 EDT 2024. Contains 371964 sequences. (Running on oeis4.)