A303581 - OEIS

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A303581

Add i (>= 0) to the i-th block of terms in the Thue-Morse sequence A010060.

0, 2, 3, 2, 4, 3, 3, 4, 5, 4, 4, 5, 4, 5, 5, 4, 6, 5, 5, 6, 5, 6, 6, 5, 5, 6, 6, 5, 6, 5, 5, 6, 7, 6, 6, 7, 6, 7, 7, 6, 6, 7, 7, 6, 7, 6, 6, 7, 6, 7, 7, 6, 7, 6, 6, 7, 7, 6, 6, 7, 6, 7, 7, 6, 8, 7, 7, 8, 7, 8, 8, 7, 7, 8, 8, 7, 8, 7, 7, 8, 7, 8, 8, 7, 8, 7, 7

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

OFFSET

0,2

COMMENTS

Constructed with a view to obtaining a musically more interesting version of the Thue-Morse sequence. (This was not a success.)

LINKS

Rémy Sigrist, Table of n, a(n) for n = 0..8192

EXAMPLE

The initial blocks of A010060 are

0, 1, 1,0, 1,0,0,1, 1,0,0,1,0,1,1,0, 1,0,0,1,0,1,1,0,0,1,1,0,1,0,0,1, ...

and we add 0, 1, 2, ... to the terms in these blocks to obtain

0, 2, 3,2, 4,3,3,4, 5,4,4,5,4,5,5,4, 6,5,5,6,5,6,6,5,5,6,6,5,6,5,5,6, ...