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 A157336 #42 Sep 08 2022 08:45:41
%S A157336 72,136,200,264,328,392,456,520,584,648,712,776,840,904,968,1032,1096,
%T A157336 1160,1224,1288,1352,1416,1480,1544,1608,1672,1736,1800,1864,1928,
%U A157336 1992,2056,2120,2184,2248,2312,2376,2440,2504,2568,2632,2696,2760,2824,2888,2952
%N A157336 a(n) = 8*(8*n + 1).
%C A157336 The identity (128*n^2+32*n+1)^2-(4*n^2+n)*(64*n+8)^2=1 can be written as A157337(n)^2-A007742(n)*a(n)^2=1. This is the case s=2 of the identity (8*n^2*s^4+8*n*s^2+1)^2-(n^2*s^2+n)*(8*n*s^3+4*s)^2=1. - _Vincenzo Librandi_, Jan 29 2012
%C A157336 Likewise, the immediate identity (a(n)^2+1)^2-(a(n)^2+2)*a(n)^2 = 1 can be rewritten as A158686(8*n+1)^2-(A158686(8*n+1)+1)*a(n)^2=1. - _Bruno Berselli_, Feb 13 2012
%H A157336 Vincenzo Librandi, <a href="/A157336/b157336.txt">Table of n, a(n) for n = 1..10000</a>
%H A157336 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (2,-1).
%F A157336 From _Vincenzo Librandi_, Jan 29 2012: (Start)
%F A157336 G.f.: 8*(1+7*x)/(x-1)^2. [corrected by _Georg Fischer_, May 12 2019]
%F A157336 a(n) = 2*a(n-1)-a(n-2). (End)
%F A157336 E.g.f.: 8*(1+8*x)*exp(x). - _G. C. Greubel_, Feb 01 2018
%t A157336 Range[72, 5000, 64] (* _Vladimir Joseph Stephan Orlovsky_, Jul 16 2011 *)
%t A157336 LinearRecurrence[{2, -1}, {72, 136}, 50] (* _Vincenzo Librandi_, Jan 29 2012 *)
%o A157336 (Magma) I:=[72, 136]; [n le 2 select I[n] else 2*Self(n-1)-Self(n-2): n in [1..50]]; // _Vincenzo Librandi_, Jan 29 2012
%o A157336 (PARI) for(n=1, 40, print1(64*n + 8", ")); \\ _Vincenzo Librandi_, Jan 29 2012
%Y A157336 Cf. A007742, A157337.
%K A157336 nonn,easy
%O A157336 1,1
%A A157336 _Vincenzo Librandi_, Feb 27 2009