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Numerators of continued fraction convergents to sqrt(558).
2

%I #16 Mar 18 2017 15:30:57

%S 23,24,47,71,118,189,874,1063,1937,3000,4937,7937,370039,377976,

%T 748015,1125991,1874006,2999997,13873994,16873991,30747985,47621976,

%U 78369961,125991937,5873999063,5999991000,11873990063,17873981063,29747971126,47621952189

%N Numerators of continued fraction convergents to sqrt(558).

%H Vincenzo Librandi, <a href="/A042068/b042068.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, 15874, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

%F G.f.: -(x^23 -23*x^22 +24*x^21 -47*x^20 +71*x^19 -118*x^18 +189*x^17 -874*x^16 +1063*x^15 -1937*x^14 +3000*x^13 -4937*x^12 -7937*x^11 -4937*x^10 -3000*x^9 -1937*x^8 -1063*x^7 -874*x^6 -189*x^5 -118*x^4 -71*x^3 -47*x^2 -24*x -23) / ((x^12 -126*x^6 +1)*(x^12 +126*x^6 +1)). - _Colin Barker_, Dec 01 2013

%t Numerator[Convergents[Sqrt[558], 30]] (* _Vincenzo Librandi_, Nov 15 2013 *)

%Y Cf. A042069, A040534.

%K nonn,cofr,frac,easy,less

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Dec 01 2013