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A042174 Numerators of continued fraction convergents to sqrt(612). 2

%I #15 Mar 18 2017 16:06:20

%S 24,25,74,99,470,569,1608,2177,106104,108281,322666,430947,2046454,

%T 2477401,7001256,9478657,461976792,471455449,1404887690,1876343139,

%U 8910260246,10786603385,30483467016,41270070401,2011446846264,2052716916665,6116880679594

%N Numerators of continued fraction convergents to sqrt(612).

%H Vincenzo Librandi, <a href="/A042174/b042174.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_16">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 0, 4354, 0, 0, 0, 0, 0, 0, 0, -1).

%F G.f.: -(x^15 -24*x^14 +25*x^13 -74*x^12 +99*x^11 -470*x^10 +569*x^9 -1608*x^8 -2177*x^7 -1608*x^6 -569*x^5 -470*x^4 -99*x^3 -74*x^2 -25*x -24) / ((x^4 -8*x^2 -1)*(x^4 +8*x^2 -1)*(x^8 +66*x^4 +1)). - _Colin Barker_, Dec 03 2013

%t Numerator[Convergents[Sqrt[612], 30]] (* _Vincenzo Librandi_, Nov 18 2013 *)

%Y Cf. A042175, A040587.

%K nonn,cofr,frac,easy,less

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Dec 03 2013

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Last modified April 19 15:11 EDT 2024. Contains 371794 sequences. (Running on oeis4.)