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A334749
A fractal sequence produced by interleaving the sequence with its own ordinal transform.
1
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, 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, 9, 1, 6, 2, 1, 15, 4, 4, 2, 8, 1, 16, 10, 1, 3, 5, 3, 6, 2, 9, 5, 3
OFFSET
1,4
COMMENTS
The odd bisection is the sequence itself.
The even bisection is the ordinal transform of the sequence.
If a(1) is 1, the other terms follow from the above constraints.
LINKS
EXAMPLE
The first 5 terms of the sequence: 1, 1, 1, 2, 1, ...
The first 5 terms of its ordinal transform: 1, 2, 3, 1, 4, ...
If these terms are interleaved, we get: 1, 1, 1, 2, 1, 3, 2, 1, 1, 4, ...
PROG
(Python) # See Links section.
CROSSREFS
KEYWORD
nonn
AUTHOR
Samuel B. Reid, Jun 13 2020
STATUS
approved