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 A041172 #17 Jul 09 2025 00:23:02 %S A041172 9,10,39,49,921,970,3831,4801,90249,95050,375399,470449,8843481, %T A041172 9313930,36785271,46099201,866570889,912670090,3604581159,4517251249, %U A041172 84915103641,89432354890,353212168311 %N A041172 Numerators of continued fraction convergents to sqrt(96). %H A041172 Vincenzo Librandi, <a href="/A041172/b041172.txt">Table of n, a(n) for n = 0..200</a> %H A041172 <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,98,0,0,0,-1). %F A041172 G.f.: (9 + 10*x + 39*x^2 + 49*x^3 + 39*x^4 - 10*x^5 + 9*x^6 - x^7) / ((1 - 10*x^2 + x^4 )*(1 + 10*x^2 + x^4)). [_Bruno Berselli_, Oct 30 2013] %t A041172 Numerator[Convergents[Sqrt[96],30]] (* _Harvey P. Dale_, Jan 31 2013 *) %Y A041172 Cf. A010547, A041173. %K A041172 nonn,cofr,frac,easy %O A041172 0,1 %A A041172 _N. J. A. Sloane_