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 A359205 #38 Dec 25 2022 14:14:42 %S A359205 15,27,30,31,47,51,54,55,59,60,61,62,63,79,91,94,95,99,102,103,107, %T A359205 108,109,110,111,115,118,119,120,121,122,123,124,125,126,127,143,155, %U A359205 158,159 %N A359205 Numbers that have at least two non-overlapping pairs of consecutive ones in their binary representation. %C A359205 These are the numbers for which the smallest Hamming distance to a fibbinary number is larger than 1. %H A359205 Wikipedia, <a href="https://en.m.wikipedia.org/wiki/Hamming_distance">Hamming distance</a> %H A359205 Wikipedia, <a href="https://en.m.wikipedia.org/wiki/Fibbinary_number">Fibbinary number</a> %e A359205 27 is 11011 in binary, thus it is in the sequence. %e A359205 14 is 1110 in binary. The pairs of consecutive ones overlap, so it is not in the sequence. %t A359205 n=10; %t A359205 a=Range[2^n]; %t A359205 fib=Select[a, BitAnd[#,2#]==0&]; %t A359205 nonadj=Complement[a,Union@@Outer[BitXor,fib,2^#&/@Range[n]]] %Y A359205 Cf. A003714. %K A359205 nonn,base,easy %O A359205 1,1 %A A359205 _Elijah Beregovsky_, Dec 23 2022