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 A154375 #31 Sep 16 2016 02:40:43
%S A154375 1351,5201,11551,20401,31751,45601,61951,80801,102151,126001,152351,
%T A154375 181201,212551,246401,282751,321601,362951,406801,453151,502001,
%U A154375 553351,607201,663551,722401,783751,847601,913951,982801,1054151,1128001
%N A154375 a(n) = 1250*n^2 + 100*n + 1.
%C A154375 The identity (1250*n^2 + 100*n + 1)^2 - (25*n^2 + 2*n)*(250*n + 10)^2 = 1 can be written as a(n)^2 - A154377(n)*A154379(n)^2 = 1. - _Vincenzo Librandi_, Jan 30 2012
%C A154375 This is the case s=5 of the identity (2*s^4*n^2 + 4*s^2*n + 1)^2 - (s^2*n^2 + 2*n)*(2*s^3*n + 2*s)^2 = 1. - _Bruno Berselli_, Jan 30 2012
%H A154375 Vincenzo Librandi, <a href="/A154375/b154375.txt">Table of n, a(n) for n = 1..10000</a>
%H A154375 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (3,-3,1).
%F A154375 a(1)=1351, a(2)=5201, a(3)=11551, a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3). - _Harvey P. Dale_, Apr 25 2011
%F A154375 G.f.: x*(x^2 + 1148*x + 1351)/(1-x)^3. - _Vincenzo Librandi_, Jan 30 2012
%F A154375 E.g.f.: (1250*x^2 + 1350*x + 1)*exp(x) - 1. - _G. C. Greubel_, Sep 15 2016
%t A154375 Table[1250n^2+100n+1,{n,30}] (* or *) LinearRecurrence[{3,-3,1},{1351, 5201, 11551},30] (* _Harvey P. Dale_, Apr 25 2011 *)
%o A154375 (PARI) a(n)=1250*n^2+100*n+1 \\ _Charles R Greathouse IV_, Dec 27 2011
%Y A154375 Cf. A154377, A154379.
%K A154375 nonn,easy
%O A154375 1,1
%A A154375 _Vincenzo Librandi_, Jan 08 2009
%E A154375 Minor corrections by _M. F. Hasler_, Oct 08 2014