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 A144564 #19 May 06 2024 12:37:10
%S A144564 1,101,10101,1011101,101111101,10111111101,1011111111101,
%T A144564 101111111111101,10111111111111101,1011111111111111101,
%U A144564 101111111111111111101,10111111111111111111101,1011111111111111111111101,101111111111111111111111101,10111111111111111111111111101
%N A144564 Bisection of A147757.
%H A144564 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (101,-100).
%F A144564 G.f.: x*(1+10*x)*(100*x^2-10*x+1)/((100*x-1)*(x-1)). - _R. J. Mathar_, Aug 24 2011
%e A144564 n ...... a(n)
%e A144564 1 ....... 1
%e A144564 2 ...... 101
%e A144564 3 ..... 10101
%e A144564 4 .... 1011101
%e A144564 5 ... 101111101
%t A144564 Rest[CoefficientList[Series[x(1+10x)(100x^2-10x+1)/((100x-1)(x-1)),{x,0,20}],x]] (* or *) Join[{1,101},Table[FromDigits[Join[{1,0},PadRight[ {},2n+1,1],{0,1}]],{n,0,20}]] (* _Harvey P. Dale_, Dec 26 2014 *)
%Y A144564 Cf. A135577, A138120, A138146, A147757, A152756.
%K A144564 easy,nonn,base
%O A144564 1,2
%A A144564 _Omar E. Pol_, Dec 14 2008