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A167364
Triangle read by rows, A047999 * A010060 (diagonalized); as infinite lower triangular matrices.
2
1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0
OFFSET
1,1
COMMENTS
Row sums = A048896: (1, 1, 2, 1, 2, 2, 4, 1, 2, 2, 4,...). Right border = Thue-Morse sequence A010060, starting with offset 1.
FORMULA
Let S = Sierpinski's gasket, A047999. Let Q = a diagonalized version of the Thue-Morse sequence, A010060: [0; 0,1; 0,0,1; 0,0,0,0; 0,0,0,0,1;...], (i.e. A010060 as the rightmost diagonal and the rest zeros). A167364 = S * Q, as infinite lower triangular matrices. Delete leftmost column of zeros.
EXAMPLE
First few rows of the triangle =
1;
0, 1;
1, 1, 0;
0, 0, 0, 1;
1, 0, 0, 1, 0;
0, 1, 0, 1, 0, 0;
1, 1, 0, 1, 0, 0, 1;
0, 0, 0, 0, 0, 0, 0, 1;
1, 0, 0, 0, 0, 0, 0, 1, 0;
0, 1, 0, 0, 0, 0, 0, 1, 0, 0;
1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1;
0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0
1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1;
0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1;
1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0;
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1
1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0;
0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0;
1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1;
...
CROSSREFS
Sequence in context: A188433 A267635 A267034 * A365992 A280711 A293164
KEYWORD
nonn,tabl
AUTHOR
STATUS
approved