A334749 - OEIS

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

(list; graph; refs; listen; history; text; internal format)

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, ...