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.

A042104 Numerators of continued fraction convergents to sqrt(577).

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%I A042104 #26 Jul 09 2025 02:14:51
%S A042104 24,1153,55368,2658817,127678584,6131230849,294426759336,
%T A042104 14138615678977,678947979350232,32603641624490113,1565653745954875656,
%U A042104 75183983447458521601,3610396859223963912504,173374233226197726321793
%N A042104 Numerators of continued fraction convergents to sqrt(577).
%H A042104 Vincenzo Librandi, <a href="/A042104/b042104.txt">Table of n, a(n) for n = 0..200</a>
%H A042104 Tanya Khovanova, <a href="http://www.tanyakhovanova.com/RecursiveSequences/RecursiveSequences.html">Recursive Sequences</a>
%H A042104 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (48, 1).
%F A042104 a(n) = 48*a(n-1)+a(n-2)for n>1, a(0)=24, a(1)=1153. G.f.: (24+x)/(1-48*x-x^2). [_Philippe Deléham_, Nov 23 2008]
%t A042104 Numerator[Convergents[Sqrt[577], 30]] (* _Vincenzo Librandi_, Nov 16 2013 *)
%t A042104 LinearRecurrence[{48,1},{24,1153},20] (* _Harvey P. Dale_, Sep 02 2024 *)
%Y A042104 Cf. A042105.
%K A042104 nonn,cofr,frac,easy,less
%O A042104 0,1
%A A042104 _N. J. A. Sloane_