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 A133275 #26 Apr 07 2024 14:39:12 %S A133275 3,63,1383,30363,666603,14634903,321301263,7053992883,154866542163, %T A133275 3400009934703,74645352021303,1638797734533963,35978904807725883, %U A133275 789897108035435463,17341757471971854303,380728767275345359203 %N A133275 Numbers X such that 30*X^2-45 is a square. %C A133275 Positive values of x (or y) satisfying x^2 - 22xy + y^2 + 180 = 0. - _Colin Barker_, Feb 19 2014 %H A133275 Vincenzo Librandi, <a href="/A133275/b133275.txt">Table of n, a(n) for n = 1..200</a> %H A133275 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (22,-1). %F A133275 a(n+2) = 22*a(n+1)-a(n). %F A133275 a(n+1) = 11*a(n)+2*(30*a(n)^2-45)^0.5. %F A133275 G.f.: -3*x*(-1+x)/(1-22*x+x^2). - _R. J. Mathar_, Nov 14 2007 %F A133275 a(n) = 3*A157014(n). - _Colin Barker_, Feb 19 2014 %t A133275 CoefficientList[Series[3 (1 - x)/(1 - 22 x + x^2), {x, 0, 40}], x] (* _Vincenzo Librandi_, Feb 21 2014 *) %o A133275 (Magma) I:=[3,63]; [n le 2 select I[n] else 22*Self(n-1)-Self(n-2): n in [1..20]]; // _Vincenzo Librandi_, Feb 21 2014 %Y A133275 Cf. A157014. %K A133275 nonn,easy %O A133275 1,1 %A A133275 _Richard Choulet_, Oct 16 2007 %E A133275 More terms from _Paolo P. Lava_, Aug 06 2008