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Numerators of continued fraction convergents to sqrt(55).
2

%I #17 Aug 06 2024 00:03:04

%S 7,15,37,89,1283,2655,6593,15841,228367,472575,1173517,2819609,

%T 40648043,84115695,208879433,501874561,7235123287,14972121135,

%U 37179365557,89330852249,1287811297043,2664953446335,6617718189713,15900389825761,229223175750367

%N Numerators of continued fraction convergents to sqrt(55).

%H Vincenzo Librandi, <a href="/A041094/b041094.txt">Table of n, a(n) for n = 0..300</a>

%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,178,0,0,0,-1).

%F G.f.: -(x+1)*(x^6-8*x^5+23*x^4-60*x^3-29*x^2-8*x-7) / (x^8-178*x^4+1). - _Colin Barker_, Nov 04 2013

%t Numerator[Convergents[Sqrt[55],30]] (* _Harvey P. Dale_, Aug 15 2013 *)

%Y Cf. A041095.

%K nonn,cofr,frac,easy

%O 0,1

%A _N. J. A. Sloane_

%E More terms from _Colin Barker_, Nov 04 2013