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 A041106 #18 Jul 09 2025 00:16:50 %S A041106 7,8,39,125,164,453,1070,1523,5639,24079,29718,440131,469849,2319527, %T A041106 7428430,9747957,26924344,63596645,90520989,335159612,1431159437, %U A041106 1766319049,26159626123,27925945172,137863406811,441516165605,579379572416,1600275310437 %N A041106 Numerators of continued fraction convergents to sqrt(61). %H A041106 Vincenzo Librandi, <a href="/A041106/b041106.txt">Table of n, a(n) for n = 0..200</a> %H A041106 <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,0,0,0,0,0,59436,0,0,0,0,0,0,0,0,0,0,1). %F A041106 G.f.: -(x^21 -7*x^20 +8*x^19 -39*x^18 +125*x^17 -164*x^16 +453*x^15 -1070*x^14 +1523*x^13 -5639*x^12 +24079*x^11 +29718*x^10 +24079*x^9 +5639*x^8 +1523*x^7 +1070*x^6 +453*x^5 +164*x^4 +125*x^3 +39*x^2 +8*x +7) / (x^22 +59436*x^11 -1). - _Colin Barker_, Nov 12 2013 %t A041106 Numerator[Convergents[Sqrt[61], 30]] (* _Vincenzo Librandi_, Oct 29 2013 *) %Y A041106 Cf. A010514, A041107, A010145, A020818. %K A041106 nonn,cofr,frac,easy %O A041106 0,1 %A A041106 _N. J. A. Sloane_ %E A041106 More terms from _Colin Barker_, Nov 12 2013