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%I #48 May 24 2021 00:08:25
%S 1,1,1,2,1,3,2,1,1,4,3,1,2,2,1,5,1,6,4,1,3,2,1,7,2,3,2,4,1,8,5,1,1,9,
%T 6,1,4,2,1,10,3,3,2,5,1,11,7,1,2,6,3,4,2,7,4,3,1,12,8,1,5,2,1,13,1,14,
%U 9,1,6,2,1,15,4,4,2,8,1,16,10,1,3,5,3,6,2,9,5,3
%N A fractal sequence produced by interleaving the sequence with its own ordinal transform.
%C The odd bisection is the sequence itself.
%C The even bisection is the ordinal transform of the sequence.
%C If a(1) is 1, the other terms follow from the above constraints.
%H Samuel B. Reid, <a href="/A334749/b334749.txt">Table of n, a(n) for n = 1..10000</a>
%H Samuel B. Reid, <a href="/A334749/a334749.py.txt">Python program for A334749</a>
%e The first 5 terms of the sequence: 1, 1, 1, 2, 1, ...
%e The first 5 terms of its ordinal transform: 1, 2, 3, 1, 4, ...
%e If these terms are interleaved, we get: 1, 1, 1, 2, 1, 3, 2, 1, 1, 4, ...
%o (Python) # See Links section.
%Y Cf. A000120, A002487, A003603.
%K nonn
%O 1,4
%A _Samuel B. Reid_, Jun 13 2020