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 A041591 #15 Jul 09 2025 01:05:18 %S A041591 1,1,3,13,146,159,305,1074,2453,5980,20393,26373,46766,540799,2209962, %T A041591 4960723,7170685,248764013,255934698,760633409,3298468334,37043785083, %U A041591 40342253417,77386038500,272500368917,622386776334,1517273921585,5174208541089,6691482462674 %N A041591 Denominators of continued fraction convergents to sqrt(313). %H A041591 Vincenzo Librandi, <a href="/A041591/b041591.txt">Table of n, a(n) for n = 0..200</a> %H A041591 <a href="/index/Rec#order_34">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 253724736, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1). %F A041591 a(n) = 253724736*a(n-17) + a(n-34) for n>33. [_Bruno Berselli_, Dec 22 2013] %t A041591 Denominator/@Convergents[Sqrt[313], 30] (* _Harvey P. Dale_, Apr 23 2011 *) %Y A041591 Cf. A041590. %K A041591 nonn,frac,easy %O A041591 0,3 %A A041591 _N. J. A. Sloane_ %E A041591 More terms from _Vincenzo Librandi_, Dec 21 2013