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 A164367 #18 Sep 15 2017 04:02:17
%S A164367 101,10010,1000100,100001000,10000010000,1000000100000,
%T A164367 100000001000000,10000000010000000,1000000000100000000,
%U A164367 100000000001000000000
%N A164367 a(n) = A164051(n) in base 2.
%H A164367 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (110,-1000).
%F A164367 a(n) = 10^(2*n) + 10^(n-1). The digits from the left to the right: number 1, n times 0, number 1, and (n-1) times 0.
%F A164367 From _Chai Wah Wu_, Jun 20 2016: (Start)
%F A164367 a(n) = 110*a(n-1) - 1000*a(n-2) for n > 2.
%F A164367 G.f.: x*(101 - 1100*x)/((1 - 10*x)*(1 - 100*x)). (End)
%F A164367 E.g.f.: (-11 + exp(10*x) + 10*exp(100*x))/10. - _Ilya Gutkovskiy_, Jun 21 2016
%t A164367 Table[FromDigits@ IntegerDigits[2^(2 n) + 2^(n - 1), 2], {n, 12}] (* or *)
%t A164367 Rest@ CoefficientList[Series[x (101 - 1100 x)/((1 - 10 x) (1 - 100 x)), {x, 0, 12}], x] (* _Michael De Vlieger_, Jun 21 2016 *)
%o A164367 (PARI) x='x+O('x^50); Vec(x*(101 - 1100*x)/((1 - 10*x)*(1 - 100*x))) \\ _G. C. Greubel_, Sep 15 2017
%K A164367 nonn,base,easy
%O A164367 1,1
%A A164367 _Jaroslav Krizek_, Aug 14 2009
%E A164367 Edited by _Charles R Greathouse IV_, Oct 12 2009