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 A041544 #33 Jul 09 2025 01:00:13 %S A041544 17,579,19703,670481,22816057,776416419,26420974303,899089542721, %T A041544 30595465426817,1041144914054499,35429522543279783, %U A041544 1205644911385567121,41027356509652561897,1396135766239572671619,47509643408655123396943,1616724011660513768167681 %N A041544 Numerators of continued fraction convergents to sqrt(290). %H A041544 Vincenzo Librandi, <a href="/A041544/b041544.txt">Table of n, a(n) for n = 0..200</a> %H A041544 Tanya Khovanova, <a href="http://www.tanyakhovanova.com/RecursiveSequences/RecursiveSequences.html">Recursive Sequences</a> %H A041544 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (34,1). %F A041544 a(n) = 34*a(n-1)+a(n-2) for n>1, a(0)=17, a(1)=579. G.f.: (17+x)/(1-34*x-x^2). [_Philippe Deléham_, Nov 23 2008] %p A041544 numtheory:-cfrac(sqrt(290),30,'convergents'): %p A041544 map(numer,convergents[1..-2]); # _Robert Israel_, Jun 22 2015 %t A041544 Numerator[Convergents[Sqrt[290], 30]] (* _Vincenzo Librandi_, Nov 04 2013 *) %Y A041544 Cf. A041545. %K A041544 nonn,cofr,frac,easy %O A041544 0,1 %A A041544 _N. J. A. Sloane_ %E A041544 Additional term from _Colin Barker_, Nov 08 2013