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A042452 Numerators of continued fraction convergents to sqrt(754). 2

%I

%S 27,55,302,357,659,1016,1675,9391,20457,1114069,2248595,12357044,

%T 14605639,26962683,41568322,68531005,384223347,836977699,45581019093,

%U 91999015885,505576098518,597575114403,1103151212921,1700726327324,2803877540245,15720114028549

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

%H Vincenzo Librandi, <a href="/A042452/b042452.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^17 -27*x^16 +55*x^15 -302*x^14 +357*x^13 -659*x^12 +1016*x^11 -1675*x^10 +9391*x^9 +20457*x^8 +9391*x^7 +1675*x^6 +1016*x^5 +659*x^4 +357*x^3 +302*x^2 +55*x +27) / (x^18 +40914*x^9 -1). - _Colin Barker_, Dec 14 2013

%t Numerator[Convergents[Sqrt[754], 30]] (* _Vincenzo Librandi_, Nov 25 2013 *)

%Y Cf. A042453, A040726.

%K nonn,frac,easy

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Dec 14 2013

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Last modified July 21 02:02 EDT 2019. Contains 325189 sequences. (Running on oeis4.)