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A041514 Numerators of continued fraction convergents to sqrt(274). 2

%I

%S 16,17,33,149,629,778,1407,45802,47209,93011,419253,1770023,2189276,

%T 3959299,128886844,132846143,261732987,1179778091,4980845351,

%U 6160623442,11141468793,362687624818,373829093611,736516718429,3319895967327,14016100587737,17335996555064

%N Numerators of continued fraction convergents to sqrt(274).

%H Vincenzo Librandi, <a href="/A041514/b041514.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 (0,0,0,0,0,0,2814,0,0,0,0,0,0,1).

%F G.f.: -(x^13 -16*x^12 +17*x^11 -33*x^10 +149*x^9 -629*x^8 +778*x^7 +1407*x^6 +778*x^5 +629*x^4 +149*x^3 +33*x^2 +17*x +16) / (x^14 +2814*x^7 -1). - _Colin Barker_, Nov 08 2013

%t Numerator[Convergents[Sqrt[274], 30]] (* _Vincenzo Librandi_, Nov 04 2013 *)

%Y Cf. A041515.

%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 March 24 01:20 EDT 2019. Contains 321444 sequences. (Running on oeis4.)