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Numerators of continued fraction convergents to sqrt(238).
2

%I #12 Jun 13 2015 00:49:24

%S 15,31,77,108,1589,1697,4983,11663,354873,721409,1797691,2519100,

%T 37065091,39584191,116233473,272051137,8277767583,16827586303,

%U 41932940189,58760526492,864580311077,923340837569,2711261986215,6345864809999,193087206286185

%N Numerators of continued fraction convergents to sqrt(238).

%H Vincenzo Librandi, <a href="/A041444/b041444.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 (0,0,0,0,0,0,0,23326,0,0,0,0,0,0,0,-1).

%F G.f.: -(x^15 -15*x^14 +31*x^13 -77*x^12 +108*x^11 -1589*x^10 +1697*x^9 -4983*x^8 -11663*x^7 -4983*x^6 -1697*x^5 -1589*x^4 -108*x^3 -77*x^2 -31*x -15) / (x^16 -23326*x^8 +1). - _Colin Barker_, Nov 17 2013

%t Numerator[Convergents[Sqrt[238], 30]] (* _Vincenzo Librandi_, Nov 02 2013 *)

%Y Cf. A041445, A040222.

%K nonn,cofr,frac,easy

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Nov 17 2013