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A042453 Denominators of continued fraction convergents to sqrt(754). 2

%I

%S 1,2,11,13,24,37,61,342,745,40572,81889,450017,531906,981923,1513829,

%T 2495752,13992589,30480930,1659962809,3350406548,18411995549,

%U 21762402097,40174397646,61936799743,102111197389,572492786688,1247096770765,67915718407998

%N Denominators of continued fraction convergents to sqrt(754).

%H Vincenzo Librandi, <a href="/A042453/b042453.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 (0,0,0,0,0,0,0,0,40914,0,0,0,0,0,0,0,0,1).

%F G.f.: -(x^16 -2*x^15 +11*x^14 -13*x^13 +24*x^12 -37*x^11 +61*x^10 -342*x^9 +745*x^8 +342*x^7 +61*x^6 +37*x^5 +24*x^4 +13*x^3 +11*x^2 +2*x +1) / (x^18 +40914*x^9 -1). - _Colin Barker_, Dec 14 2013

%t Denominator[Convergents[Sqrt[754], 30]] (* _Harvey P. Dale_, Apr 14 2013 *)

%t CoefficientList[Series[-(x^16 - 2 x^15 + 11 x^14 - 13 x^13 + 24 x^12 - 37 x^11 + 61 x^10 - 342 x^9 + 745 x^8 + 342 x^7 + 61 x^6 + 37 x^5 + 24 x^4 + 13 x^3 + 11 x^2 + 2 x + 1)/(x^18 + 40914 x^9 - 1), {x, 0, 30}], x] (* _Vincenzo Librandi_, Jan 22 2014 *)

%Y Cf. A042452, A040726.

%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 July 21 19:25 EDT 2019. Contains 325199 sequences. (Running on oeis4.)