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 A041550 #24 Jul 09 2025 01:00:46 %S A041550 17,137,154,291,2482,84679,679914,764593,1444507,12320649,420346573, %T A041550 3375093233,3795439806,7170533039,61159704118,2086600473051, %U A041550 16753963488526,18840563961577,35594527450103,303596783562401,10357885168571737,83166678132136297 %N A041550 Numerators of continued fraction convergents to sqrt(293). %C A041550 From _Johannes W. Meijer_, Jun 12 2010: (Start) %C A041550 The a(n) terms of this sequence can be constructed with the terms of sequence A090306. %C A041550 For the terms of the periodical sequence of the continued fraction for sqrt(293) see A040275. We observe that its period is five. (End) %H A041550 Vincenzo Librandi, <a href="/A041550/b041550.txt">Table of n, a(n) for n = 0..200</a> %H A041550 <a href="/index/Rec#order_10">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 4964, 0, 0, 0, 0, 1). %F A041550 From _Johannes W. Meijer_, Jun 12 2010: (Start) %F A041550 a(5n) = A090306(3n+1), a(5n+1) = (A090306(3n+2) - A090306(3n+1))/2, a(5n+2) = (A090306(3n+2) + A090306(3n+1))/2, a(5n+3) = A090306(3n+2) and a(5n+4) = A090306(3n+3)/2. (End) %F A041550 G.f.: -(x^9-17*x^8+137*x^7-154*x^6+291*x^5+2482*x^4+291*x^3+154*x^2+137*x+17) / (x^10+4964*x^5-1). - _Colin Barker_, Nov 08 2013 %t A041550 Numerator[Convergents[Sqrt[293], 30]] (* _Vincenzo Librandi_, Nov 04 2013 *) %Y A041550 Cf. A041018, A041046, A041090, A041150, A041226, A041318, A041426, A041550, A041551. %K A041550 nonn,cofr,frac,easy %O A041550 0,1 %A A041550 _N. J. A. Sloane_ %E A041550 More terms from _Colin Barker_, Nov 08 2013