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 A145694 #16 Jan 03 2024 23:46:09
%S A145694 5,1515,457525,138171035,41727195045,12601474732555,3805603642036565,
%T A145694 1149279698420310075,347078663319291606085,104816607042727644727595,
%U A145694 31654268248240429416127605,9559484194361566956025809115,2886932572428944980290378225125
%N A145694 Numbers Y such that 57*Y^2+19 is a square.
%H A145694 Vincenzo Librandi, <a href="/A145694/b145694.txt">Table of n, a(n) for n = 1..200</a>
%H A145694 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (302,-1).
%F A145694 a(n+2) = 302*a(n+1)-a(n).
%F A145694 G.f.: 5*x*(x+1) / (x^2-302*x+1). - _Colin Barker_, Oct 21 2014
%e A145694 a(1)=5 because the first relation is 38^2=57*5^2+19.
%t A145694 CoefficientList[Series[5 (x + 1)/(x^2 - 302 x + 1), {x, 0, 20}], x] (* _Vincenzo Librandi_, Oct 21 2014 *)
%t A145694 LinearRecurrence[{302,-1},{5,1515},15] (* _Harvey P. Dale_, Jun 25 2021 *)
%o A145694 (PARI) Vec(5*x*(x+1)/(x^2-302*x+1) + O(x^20)) \\ _Colin Barker_, Oct 21 2014
%o A145694 (Magma) I:=[5, 1515]; [n le 2 select I[n] else 302*Self(n-1)-Self(n-2): n in [1..15]]; // _Vincenzo Librandi_, Oct 21 2014
%Y A145694 Cf. A145120.
%K A145694 easy,nonn
%O A145694 1,1
%A A145694 _Richard Choulet_, Oct 16 2008
%E A145694 Editing and more terms from _Colin Barker_, Oct 21 2014