cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A041086 Numerators of continued fraction convergents to sqrt(51).

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%I A041086 #16 Jul 09 2025 00:14:59
%S A041086 7,50,707,4999,70693,499850,7068593,49980001,706788607,4997500250,
%T A041086 70671792107,499700044999,7066472422093,49965006999650,
%U A041086 706576570417193,4996000999920001,70650590569297207,499550134985000450,7064352480359303507,49950017497500124999
%N A041086 Numerators of continued fraction convergents to sqrt(51).
%H A041086 Vincenzo Librandi, <a href="/A041086/b041086.txt">Table of n, a(n) for n = 0..80</a>
%H A041086 <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,100,0,-1).
%F A041086 G.f.: -(x^3-7*x^2-50*x-7) / (x^4-100*x^2+1). - _Colin Barker_, Nov 04 2013
%t A041086 Numerator[Convergents[Sqrt[51], 30]] (* _Vincenzo Librandi_, Oct 29 2013 *)
%t A041086 LinearRecurrence[{0,100,0,-1},{7,50,707,4999},20] (* _Harvey P. Dale_, Dec 04 2014 *)
%Y A041086 Cf. A041087, A010504.
%K A041086 nonn,cofr,frac,easy
%O A041086 0,1
%A A041086 _N. J. A. Sloane_
%E A041086 More terms from _Colin Barker_, Nov 04 2013