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A041432 Numerators of continued fraction convergents to sqrt(232). 2

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

%S 15,61,198,1447,4539,19603,592629,2390119,7762986,56731021,177956049,

%T 768555217,23234612559,93707005453,304355628918,2224196407879,

%U 6976944852555,30131975818099,910936219395525,3673876853400199,11932566779596122,87201844310573053

%N Numerators of continued fraction convergents to sqrt(232).

%H Vincenzo Librandi, <a href="/A041432/b041432.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 (0,0,0,0,0,39206,0,0,0,0,0,-1).

%F G.f.: -(x^11 -15*x^10 +61*x^9 -198*x^8 +1447*x^7 -4539*x^6 -19603*x^5 -4539*x^4 -1447*x^3 -198*x^2 -61*x -15) / ((x^6 -198*x^3 -1)*(x^6 +198*x^3 -1)). - _Colin Barker_, Nov 10 2013

%t Numerator[Convergents[Sqrt[232], 30]] (* _Vincenzo Librandi_, Nov 01 2013 *)

%Y Cf. A041433.

%K nonn,cofr,frac,easy

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Nov 10 2013

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Last modified April 25 06:14 EDT 2024. Contains 371964 sequences. (Running on oeis4.)