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A161175 Triangle read by rows, modified Thue-Morse sequence (A010060 with offset 1): change 0 to 2, else 1. 3
1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

Row sums = A003945: (1, 3, 6, 12, 24,...). Rows tend to A001285: (1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2,...).

LINKS

Table of n, a(n) for n=1..63.

FORMULA

Given A010060 starting with offset 1, change zeros to 2, retain 1's. By rows, (n+1)-th row = n-th row with n-th row appended under morphism 1->2, 2->1.

EXAMPLE

First few rows of the triangle =

1;

1, 2;

1, 2, 2, 1;

1, 2, 2, 1, 2, 1, 1, 2;

1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1;

...

Given A010060 starting with 1 (below, top row); 0->2, else 1:

A010060: (1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1,...)

A161175: (1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1,...)

Triangle read by rows, row 4 = (1, 2, 2, 1, 2, 1, 1, 2) = (2, 1, 1, 2) appended to the right of (1, 2, 2, 1).

CROSSREFS

Cf. A010060, A001285, A003945

Sequence in context: A026606 A265918 A207676 * A095955 A272772 A293431

Adjacent sequences:  A161172 A161173 A161174 * A161176 A161177 A161178

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson, Jun 05 2009

STATUS

approved

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Last modified June 19 04:41 EDT 2021. Contains 345125 sequences. (Running on oeis4.)