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A041132 Numerators of continued fraction convergents to sqrt(75). 2

%I #13 Jun 13 2015 00:49:21

%S 8,9,17,26,433,459,892,1351,22508,23859,46367,70226,1169983,1240209,

%T 2410192,3650401,60816608,64467009,125283617,189750626,3161293633,

%U 3351044259,6512337892,9863382151,164326452308,174189834459,338516286767,512706121226,8541814226383

%N Numerators of continued fraction convergents to sqrt(75).

%H Vincenzo Librandi, <a href="/A041132/b041132.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 (0,0,0,52,0,0,0,-1).

%F G.f.: -(x^7-8*x^6+9*x^5-17*x^4-26*x^3-17*x^2-9*x-8) / (x^8-52*x^4+1). - _Colin Barker_, Nov 05 2013

%t Numerator[Convergents[Sqrt[75], 30]] (* _Vincenzo Librandi_, Oct 29 2013 *)

%Y Cf. A010527, A041133.

%K nonn,cofr,frac,easy

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Nov 05 2013

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Last modified April 19 19:02 EDT 2024. Contains 371798 sequences. (Running on oeis4.)