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A041538 Numerators of continued fraction convergents to sqrt(286). 2


%S 16,17,186,575,1911,4397,15102,49703,512132,561835,18490852,19052687,

%T 209017722,646105853,2147335281,4940776415,16969664526,55849769993,

%U 575467364456,631317134449,20777615666824,21408932801273,234866943679554,726009763839935

%N Numerators of continued fraction convergents to sqrt(286).

%H Vincenzo Librandi, <a href="/A041538/b041538.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 (0,0,0,0,0,0,0,0,0,1123670,0,0,0,0,0,0,0,0,0,-1).

%F G.f.: -(x^19 -16*x^18 +17*x^17 -186*x^16 +575*x^15 -1911*x^14 +4397*x^13 -15102*x^12 +49703*x^11 -512132*x^10 -561835*x^9 -512132*x^8 -49703*x^7 -15102*x^6 -4397*x^5 -1911*x^4 -575*x^3 -186*x^2 -17*x -16) / (x^20 -1123670*x^10 +1). - _Colin Barker_, Nov 10 2013

%t Numerator[Convergents[Sqrt[286], 30]] (* _Vincenzo Librandi_, Nov 04 2013 *)

%Y Cf. A041539.

%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 July 10 04:23 EDT 2020. Contains 335572 sequences. (Running on oeis4.)