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.

A377167 Nonnegative integers containing isolated zeros in their binary representation.

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%I A377167 #19 Oct 20 2024 16:07:37
%S A377167 0,2,5,6,10,11,13,14,18,20,21,22,23,26,27,29,30,34,37,38,40,41,42,43,
%T A377167 44,45,46,47,50,52,53,54,55,58,59,61,62,66,69,70,74,75,77,78,80,81,82,
%U A377167 83,84,85,86,87,88,89,90,91,92,93,94,95,98,101,102,104,105,106
%N A377167 Nonnegative integers containing isolated zeros in their binary representation.
%C A377167 A 0 is isolated if it's not adjacent to another 0.
%H A377167 Paolo Xausa, <a href="/A377167/b377167.txt">Table of n, a(n) for n = 1..10000</a>
%F A377167 { k : k=0 or 2k+1 in {A004748} }.
%e A377167 18 is a term because 18 = 10010_2 contains one isolated 0.
%e A377167 85 is a term because all zeros in 85 = 1010101_2 are isolated.
%t A377167 Select[Range[0, 150], MemberQ[Split[IntegerDigits[#, 2]], {0}] &]
%Y A377167 Complement of A175054.
%Y A377167 Cf. A004748, A007088, A377169.
%K A377167 nonn,base,easy
%O A377167 1,2
%A A377167 _Paolo Xausa_, Oct 18 2024