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 A041072 #26 Jul 09 2025 00:13:43 %S A041072 6,7,13,46,59,341,400,1541,1941,3482,43725,47207,90932,320003,410935, %T A041072 2374678,2785613,10731517,13517130,24248647,304500894,328749541, %U A041072 633250435,2228500846,2861751281,16537257251 %N A041072 Numerators of continued fraction convergents to sqrt(43). %H A041072 Vincenzo Librandi, <a href="/A041072/b041072.txt">Table of n, a(n) for n = 0..200</a> %H A041072 Les Tablettes du Chercheur, <a href="https://gallica.bnf.fr/ark:/12148/bpt6k58162334/f11.item">Problem 364</a>, pp. 11, Mai 15 1891 %H A041072 <a href="/index/Rec#order_20">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,0,0,0,0,6964,0,0,0,0,0,0,0,0,0,-1). %F A041072 G.f.: -(x^19 -6*x^18 +7*x^17 -13*x^16 +46*x^15 -59*x^14 +341*x^13 -400*x^12 +1541*x^11 -1941*x^10 -3482*x^9 -1941*x^8 -1541*x^7 -400*x^6 -341*x^5 -59*x^4 -46*x^3 -13*x^2 -7*x -6) / (x^20 -6964*x^10 +1). - _Colin Barker_, Nov 04 2013 %t A041072 Numerator[Convergents[Sqrt[43], 30]] (* _Vincenzo Librandi_, Oct 29 2013 *) %Y A041072 Cf. A041073, A010497, A010134. %K A041072 nonn,cofr,frac,easy %O A041072 0,1 %A A041072 _N. J. A. Sloane_