

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
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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

Samuel B. Reid, Table of n, a(n) for n = 1..10000
Samuel B. Reid, Python program for A334749


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

Cf. A000120, A002487, A003603.
Sequence in context: A272729 A064034 A231635 * A266640 A065120 A176206
Adjacent sequences: A334746 A334747 A334748 * A334750 A334751 A334752


KEYWORD

nonn


AUTHOR

Samuel B. Reid, Jun 13 2020


STATUS

approved



