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 A041580 Numerators of continued fraction convergents to sqrt(308). 2

%I

%S 17,18,35,158,193,351,12127,12478,24605,110898,135503,246401,8513137,

%T 8759538,17272675,77850238,95122913,172973151,5976210047,6149183198,

%U 12125393245,54650756178,66776149423,121426905601,4195290939857,4316717845458,8512008785315

%N Numerators of continued fraction convergents to sqrt(308).

%H Vincenzo Librandi, <a href="/A041580/b041580.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 (0,0,0,0,0,702,0,0,0,0,0,-1).

%F G.f.: -(x^11-17*x^10+18*x^9-35*x^8+158*x^7-193*x^6-351*x^5-193*x^4-158*x^3-35*x^2-18*x-17) / ((x^4-9*x^2+1)*(x^8+9*x^6+80*x^4+9*x^2+1)). - _Colin Barker_, Nov 09 2013

%t Numerator[Convergents[Sqrt[308], 30]] (* _Vincenzo Librandi_, Nov 04 2013 *)

%Y Cf. A041581.

%K nonn,cofr,frac,easy

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Nov 09 2013

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Last modified May 18 06:28 EDT 2022. Contains 353783 sequences. (Running on oeis4.)