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Connected Haar graph numbers.
46

%I #15 Feb 16 2025 08:33:50

%S 1,3,5,6,7,9,11,12,13,14,15,17,18,19,20,21,22,23,24,25,26,27,28,29,30,

%T 31,33,35,37,38,39,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,

%U 59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81

%N Connected Haar graph numbers.

%C Complement of A291165.

%C These appear to be numbers whose positions of 1's in their reversed binary expansion are relatively prime. If so, this sequence lists all positions of 1's in A326674. Numbers whose positions of 1's in their reversed binary expansion are pairwise coprime (as opposed to relatively prime) are A326675. - _Gus Wiseman_, Jul 19 2019

%H Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/ConnectedGraph.html">Connected Graph</a>

%H Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/HaarGraph.html">Haar Graph</a>

%Y Cf. A000120, A029931, A048793, A059519, A070939, A289508, A291165, A295235, A319826, A326031, A326669, A326672, A326673.

%K nonn,changed

%O 1,2

%A _Eric W. Weisstein_, Aug 19 2017