login
Records in A175046 (but written in base 2).
4

%I #16 Oct 10 2018 09:15:35

%S 11,1100,11000,110011,1100011,11001100,110001100,110011000,1100110011,

%T 11000110011,11001100011,110011001100,1100011001100,1100110001100,

%U 1100110011000,11001100110011,110001100110011,110011000110011,110011001100011,1100110011001100,11000110011001100,11001100011001100,11001100110001100,11001100110011000,110011001100110011,1100011001100110011

%N Records in A175046 (but written in base 2).

%C More terms than usual are given in order to display the pattern.

%C Conjecture. a(n) is either an alternating string of 11's and 00's, or exactly one of the 00's is replaced by 000.

%C Conjecture is true (see A319423). - _Chai Wah Wu_, Oct 04 2018

%H Chai Wah Wu, <a href="/A319424/b319424.txt">Table of n, a(n) for n = 1..10099</a>

%H N. J. A. Sloane, <a href="/transforms.txt">Transforms</a>

%H Chai Wah Wu, <a href="https://arxiv.org/abs/1810.02293">Record values in appending and prepending bitstrings to runs of binary digits</a>, arXiv:1810.02293 [math.NT], 2018

%Y Cf. A175406, A319422, A319423.

%K nonn,base

%O 1,1

%A _N. J. A. Sloane_, Sep 23 2018