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 A041469 #18 Jul 09 2025 00:52:59 %S A041469 1,1,5,16,53,228,281,8658,8939,44414,142181,470957,2026009,2496966, %T A041469 76934989,79431955,394662809,1263420382,4184923955,18003116202, %U A041469 22188040157,683644320912,705832361069,3506973765188,11226753656633,37187234735087,159975692596981 %N A041469 Denominators of continued fraction convergents to sqrt(250). %H A041469 Vincenzo Librandi, <a href="/A041469/b041469.txt">Table of n, a(n) for n = 0..200</a> %H A041469 <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,0,8886,0,0,0,0,0,0,1). %F A041469 G.f.: -(x^12 -x^11 +5*x^10 -16*x^9 +53*x^8 -228*x^7 +281*x^6 +228*x^5 +53*x^4 +16*x^3 +5*x^2 +x +1) / (x^14 +8886*x^7 -1). - _Colin Barker_, Nov 18 2013 %F A041469 a(n) = 8886*a(n-7) + a(n-14) for n>13. - _Vincenzo Librandi_, Dec 18 2013 %t A041469 Denominator[Convergents[Sqrt[250], 30]] (* _Vincenzo Librandi_, Dec 18 2013 *) %o A041469 (Magma) I:=[1,1,5,16,53,228,281,8658,8939,44414,142181, 470957,2026009,2496966]; [n le 14 select I[n] else 8886*Self(n-7)+Self(n-14): n in [1..40]]; // _Vincenzo Librandi_, Dec 18 2013 %Y A041469 Cf. A041468, A040234. %K A041469 nonn,frac,easy %O A041469 0,3 %A A041469 _N. J. A. Sloane_ %E A041469 More terms from _Colin Barker_, Nov 18 2013