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

Author

Samuel B. Reid, Jun 13 2020

Keywords

• nonn

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.

Examples

			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, ...
		

Links

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

Crossrefs

Cf. A000120, A002487, A003603.

Programs

Python

# See Links section.