cp's OEIS Frontend

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.

A087120 Smallest numbers having in binary representation exactly n maximal groups of consecutive zeros.

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%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