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 A041050 #21 Jul 09 2025 00:11:55 %S A041050 5,6,11,39,206,657,863,1520,16063,17583,33646,118521,626251,1997274, %T A041050 2623525,4620799,48831515,53452314,102283829,360303801,1903802834, %U A041050 6071712303,7975515137,14047227440,148447789537 %N A041050 Numerators of continued fraction convergents to sqrt(31). %H A041050 Vincenzo Librandi, <a href="/A041050/b041050.txt">Table of n, a(n) for n = 0..200</a> %H A041050 <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,0,0,3040,0,0,0,0,0,0,0,-1). %F A041050 G.f.: -(x^15 -5*x^14 +6*x^13 -11*x^12 +39*x^11 -206*x^10 +657*x^9 -863*x^8 -1520*x^7 -863*x^6 -657*x^5 -206*x^4 -39*x^3 -11*x^2 -6*x -5) / (x^16 -3040*x^8 +1). - _Colin Barker_, Nov 04 2013 %t A041050 Table[Numerator[FromContinuedFraction[ContinuedFraction[Sqrt[31],n]]],{n,1,50}] (* _Vladimir Joseph Stephan Orlovsky_, Mar 18 2011*) %t A041050 Numerator[Convergents[Sqrt[31], 30]] (* _Vincenzo Librandi_, Oct 28 2013 *) %Y A041050 Cf. A041051, A010486. %K A041050 nonn,cofr,frac,easy %O A041050 0,1 %A A041050 _N. J. A. Sloane_