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Search: id:A161175
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| A161175 |
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Triangle by rows, modified Thue-Morse sequence, (A010060 with offset 1): change 0 to 2, else 1. |
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+0
3
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| 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; listen)
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OFFSET
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1,3
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COMMENT
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Row sums = A003945: (1, 3, 6, 12, 24,...). Rows tend to A001285: (1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2,...).
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FORMULA
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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.
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EXAMPLE
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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 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).
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CROSSREFS
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Cf. A010060, A001285, A003945
Sequence in context: A144083 A054350 A026606 this_sequence A095955 A078573 A143786
Adjacent sequences: A161172 A161173 A161174 this_sequence A161176 A161177 A161178
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KEYWORD
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nonn,tabl
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Jun 05 2009
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