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 A175414 #16 Sep 09 2019 10:25:10 %S A175414 2,11,12,13,19,23,25,29,38,44,47,50,52,56,61,70,71,78,88,92,95,98,103, %T A175414 104,113,114,115,116,125,134,140,142,152,158,176,184,188,191,194,196, %U A175414 199,200,206,207,208,220,226,227,230,232,236,240,242,243,244,253 %N A175414 Those positive integers that when written in binary, the lengths of the runs of 1 are distinct and the lengths of the runs of 0's are distinct, and at least one run of 0's is the same length as a run of 1's. %C A175414 This sequence contains those positive integers in A175413 that are not in A044813. %t A175414 f[n_] := Block[{rls}, rls=Transpose[Partition[Length/@Split[IntegerDigits[n,2]],2,2,{1,1},0]]; And@@Unequal@@@rls && Intersection@@rls != {}]; Select[Range[300],f] (* _Ray Chandler_, Oct 21 2011 *) %Y A175414 Cf. A044813, A175413. %K A175414 base,nonn %O A175414 1,1 %A A175414 _Leroy Quet_, May 07 2010 %E A175414 Extended by _Ray Chandler_, Oct 21 2011