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 A156627 #23 Sep 08 2022 08:45:41 %S A156627 2574,6968,11362,15756,20150,24544,28938,33332,37726,42120,46514, %T A156627 50908,55302,59696,64090,68484,72878,77272,81666,86060,90454,94848, %U A156627 99242,103636,108030,112424,116818,121212,125606,130000,134394,138788,143182 %N A156627 a(n) = 4394*n - 1820. %C A156627 The identity (57122*n^2 - 47320*n + 9801)^2 - (169*n^2 - 140*n + 29)*(4394*n - 1820)^2 = 1 can be written as A156721(n)^2 - A156639(n)*a(n)^2 = 1. %H A156627 Vincenzo Librandi, <a href="/A156627/b156627.txt">Table of n, a(n) for n = 1..10000</a> %H A156627 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (2,-1). %F A156627 G.f.: x*(2574 + 1820*x)/(1 - x)^2. %F A156627 a(n) = 2*a(n-1) -a(n-2). %t A156627 LinearRecurrence[{2, -1}, {2574, 6968}, 40] %o A156627 (Magma) I:=[2574,6968]; [n le 2 select I[n] else 2*Self(n-1)-Self(n-2): n in [1..50]]; %o A156627 (PARI) a(n)=4394*n-1820 \\ _Charles R Greathouse IV_, Dec 23 2011 %Y A156627 Cf. A156639, A156718, A156721. %K A156627 nonn,easy %O A156627 1,1 %A A156627 _Vincenzo Librandi_, Feb 15 2009