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 A087120 #12 Apr 20 2019 09:16:15 %S A087120 1,0,10,42,170,682,2730,10922,43690,174762,699050,2796202,11184810, %T A087120 44739242,178956970,715827882,2863311530,11453246122,45812984490, %U A087120 183251937962,733007751850,2932031007402,11728124029610,46912496118442 %N A087120 Smallest numbers having in binary representation exactly n maximal groups of consecutive zeros. %C A087120 A087116(a(n))=n and A087116(k)<n for k<a(n); %C A087120 For n>1, a(n) = A020988(n-1). %H A087120 Harvey P. Dale, <a href="/A087120/b087120.txt">Table of n, a(n) for n = 0..1000</a> %H A087120 <a href="/index/Bi#binary">Index entries for sequences related to binary expansion of n</a> %F A087120 a(0)=1, a(1)=0, a(2)=10, a(n)=4*a(n-1)+2. %t A087120 Join[{1,0},NestList[4#+2&,10,25]] (* _Harvey P. Dale_, Apr 20 2019 *) %Y A087120 Cf. A087118, A023416, A007088. %K A087120 nonn %O A087120 0,3 %A A087120 _Reinhard Zumkeller_, Aug 14 2003