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%I #9 Jan 29 2024 11:23:57
%S 0,1100,11001100,11110000,110011001100,110011110000,111100001100,
%T 111100110000,111111000000,1100110011001100,1100110011110000,
%U 1100111100001100,1100111100110000,1100111111000000,1111000011001100
%N A063171-encoding of A083923-trees.
%C Subset of totally balanced binary strings (A063171) with only even runs of either bit 0 or 1 occurring.
%F a(n) = A007088(A083932(n)).
%Y Permutation of A080317 from which this differs first time at the sixth term, with a(6)=111100001100, while A080317(6)=111111000000.
%Y Cf. A007088, A063171, A083932, A083923.
%K nonn
%O 0,2
%A _Antti Karttunen_, May 13 2003