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.
%I A042512 #29 Jul 09 2025 02:55:03 %S A042512 28,1569,87892,4923521,275805068,15450007329,865476215492, %T A042512 48482118074881,2715864088408828,152136871068969249, %U A042512 8522380643950686772,477405452932307428481,26743227744853166681708,1498098159164709641604129,83920240140968593096512932 %N A042512 Numerators of continued fraction convergents to sqrt(785). %H A042512 Vincenzo Librandi, <a href="/A042512/b042512.txt">Table of n, a(n) for n = 0..200</a> %H A042512 Tanya Khovanova, <a href="http://www.tanyakhovanova.com/RecursiveSequences/RecursiveSequences.html">Recursive Sequences</a> %H A042512 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (56, 1). %F A042512 a(n) = 56*a(n-1)+a(n-2) for n>1, a(0)=28, a(1)=1569. G.f.: (28+x)/(1-56*x-x^2). [_Philippe Deléham_, Nov 23 2008] %t A042512 Numerator[Convergents[Sqrt[785], 30]] (* _Vincenzo Librandi_, Nov 25 2013 *) %Y A042512 Cf. A042513, A040756. %K A042512 nonn,frac,easy %O A042512 0,1 %A A042512 _N. J. A. Sloane_ %E A042512 Additional term from _Colin Barker_, Dec 17 2013