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Numerators of continued fraction convergents to sqrt(118).
2

%I #13 Jun 13 2015 00:49:22

%S 10,11,76,239,554,5779,12112,42115,264802,306917,6403142,6710059,

%T 46663496,146700547,340064590,3547346447,7434757484,25851618899,

%U 162544470878,188396089777,3930466266418,4118862356195,28643640403588,90049783566959,208743207537506

%N Numerators of continued fraction convergents to sqrt(118).

%H Vincenzo Librandi, <a href="/A041214/b041214.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 (0,0,0,0,0,0,0,0,0,613834,0,0,0,0,0,0,0,0,0,-1).

%F G.f.: -(x^19 -10*x^18 +11*x^17 -76*x^16 +239*x^15 -554*x^14 +5779*x^13 -12112*x^12 +42115*x^11 -264802*x^10 -306917*x^9 -264802*x^8 -42115*x^7 -12112*x^6 -5779*x^5 -554*x^4 -239*x^3 -76*x^2 -11*x -10) / (x^20 -613834*x^10 +1). - _Colin Barker_, Nov 10 2013

%t Numerator[Convergents[Sqrt[118], 30]] (* _Vincenzo Librandi_, Oct 31 2013 *)

%Y Cf. A041215.

%K nonn,cofr,frac,easy

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Nov 10 2013