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A041250 Numerators of continued fraction convergents to sqrt(137). 2

%I

%S 11,12,35,82,117,199,515,1229,1744,39597,41341,122279,285899,408178,

%T 694077,1796332,4286741,6083073,138114347,144197420,426509187,

%U 997215794,1423724981,2420940775,6265606531,14952153837,21217760368,481742881933,502960642301

%N Numerators of continued fraction convergents to sqrt(137).

%H Vincenzo Librandi, <a href="/A041250/b041250.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 (0,0,0,0,0,0,0,0,3488,0,0,0,0,0,0,0,0,1).

%F G.f.: -(x^17 -11*x^16 +12*x^15 -35*x^14 +82*x^13 -117*x^12 +199*x^11 -515*x^10 +1229*x^9 +1744*x^8 +1229*x^7 +515*x^6 +199*x^5 +117*x^4 +82*x^3 +35*x^2 +12*x +11) / (x^18 +3488*x^9 -1). - _Colin Barker_, Nov 08 2013

%t Numerator[Convergents[Sqrt[137], 30]] (* _Vincenzo Librandi_, Oct 31 2013 *)

%Y Cf. A041251.

%K nonn,cofr,frac,easy

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Nov 08 2013

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Last modified January 16 17:26 EST 2022. Contains 350376 sequences. (Running on oeis4.)