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.

A041109 Denominators of continued fraction convergents to sqrt(62).

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%I A041109 #18 Jul 09 2025 00:17:09
%S A041109 1,1,7,8,119,127,881,1008,14993,16001,110999,127000,1888999,2015999,
%T A041109 13984993,16000992,237998881,253999873,1761998119,2015997992,
%U A041109 29985970007,32001967999,221997778001,253999746000,3777994222001,4031993968001,27969958030007
%N A041109 Denominators of continued fraction convergents to sqrt(62).
%H A041109 Vincenzo Librandi, <a href="/A041109/b041109.txt">Table of n, a(n) for n = 0..200</a>
%H A041109 <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,126,0,0,0,-1).
%F A041109 G.f.: -(x^2-x-1)*(x^4+8*x^2+1) / (x^8-126*x^4+1). - _Colin Barker_, Nov 12 2013
%F A041109 a(n) = 126*a(n-4) - a(n-8). - _Vincenzo Librandi_, Dec 11 2013
%t A041109 Denominator[Convergents[Sqrt[62], 30]] (* _Vincenzo Librandi_, Dec 11 2013 *)
%t A041109 LinearRecurrence[{0,0,0,126,0,0,0,-1},{1,1,7,8,119,127,881,1008},30] (* _Harvey P. Dale_, Oct 26 2016 *)
%o A041109 (Magma) I:=[1, 1, 7, 8, 119, 127, 881, 1008]; [n le 8 select I[n] else 126*Self(n-4)-Self(n-8): n in [1..40]]; // _Vincenzo Librandi_, Dec 11 2013
%Y A041109 Cf. A041108, A010146, A020819, A010515.
%K A041109 nonn,cofr,easy,frac
%O A041109 0,3
%A A041109 _N. J. A. Sloane_
%E A041109 More terms from _Colin Barker_, Nov 12 2013