login

Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.

A fractal sequence produced by interleaving the sequence with its own ordinal transform.
1

%I #48 May 24 2021 00:08:25

%S 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,

%T 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,

%U 9,1,6,2,1,15,4,4,2,8,1,16,10,1,3,5,3,6,2,9,5,3

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

%C The odd bisection is the sequence itself.

%C The even bisection is the ordinal transform of the sequence.

%C If a(1) is 1, the other terms follow from the above constraints.

%H Samuel B. Reid, <a href="/A334749/b334749.txt">Table of n, a(n) for n = 1..10000</a>

%H Samuel B. Reid, <a href="/A334749/a334749.py.txt">Python program for A334749</a>

%e The first 5 terms of the sequence: 1, 1, 1, 2, 1, ...

%e The first 5 terms of its ordinal transform: 1, 2, 3, 1, 4, ...

%e If these terms are interleaved, we get: 1, 1, 1, 2, 1, 3, 2, 1, 1, 4, ...

%o (Python) # See Links section.

%Y Cf. A000120, A002487, A003603.

%K nonn

%O 1,4

%A _Samuel B. Reid_, Jun 13 2020