A334749 A fractal sequence produced by interleaving the sequence with its own ordinal transform.

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

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: A231635 A366281 A365805 * A266640 A359350 A065120

Adjacent sequences: A334746 A334747 A334748 * A334750 A334751 A334752

Keyword

nonn

Author

Samuel B. Reid, Jun 13 2020

Status

approved