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.

A042010 Numerators of continued fraction convergents to sqrt(528).

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%I A042010 #15 Jul 09 2025 02:04:40
%S A042010 22,23,1034,1057,47542,48599,2185898,2234497,100503766,102738263,
%T A042010 4620987338,4723725601,212464913782,217188639383,9768765046634,
%U A042010 9985953686017,449150727231382,459136680917399
%N A042010 Numerators of continued fraction convergents to sqrt(528).
%H A042010 Vincenzo Librandi, <a href="/A042010/b042010.txt">Table of n, a(n) for n = 0..200</a>
%H A042010 <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,46,0,-1).
%F A042010 G.f.: -(x^3-22*x^2-23*x-22)/(x^4-46*x^2+1). - _Vincenzo Librandi_, Nov 13 2013
%F A042010 a(n) = 46*a(n-2)-a(n-4). - _Vincenzo Librandi_, Nov 13 2013
%t A042010 Numerator[Convergents[Sqrt[528], 30]] (* or *) CoefficientList[Series[-(x^3 - 22 x^2 - 23 x - 22)/(x^4 - 46 x^2 + 1), {x, 0, 30}], x] (* _Vincenzo Librandi_, Nov 13 2013 *)
%o A042010 (Magma) I:=[22, 23, 1034, 1057]; [n le 4 select I[n] else 46*Self(n-2)-Self(n-4): n in [1..25]]; // _Vincenzo Librandi_, Nov 13 2013
%Y A042010 Cf. A042011.
%K A042010 nonn,cofr,frac,easy,less
%O A042010 0,1
%A A042010 _N. J. A. Sloane_