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A167274
Triangle read by rows, = 2*A047999 - A047999^(-1); = twice Sierpinski's gasket minus the inverse of Sierpinski's gasket.
2
1, 3, 1, 3, 0, 1, 1, 3, 3, 1, 3, 0, 0, 0, 1, 1, 3, 0, 0, 3, 1, 1, 0, 3, 0, 3, 0, 1, 3, 1, 1, 3, 1, 3, 3, 1, 3, 0, 0, 0, 0, 0, 0, 0, 1, 1, 3, 0, 0, 0, 0, 0, 0, 3, 1, 1, 0, 3, 0, 0, 0, 0, 0, 3, 0, 1, 3, 1, 1, 3, 0, 0, 0, 0, 1, 3, 3, 1
OFFSET
0,2
COMMENTS
Row sums = A167275: (1, 4, 4, 8, 4, 8, 8,...).
FORMULA
Let Sierpinski's gasket, A047999 = S; as an infinite lower triangular matrix.
A167274 = 2*S - 1/S.
EXAMPLE
First few rows of the triangle =
1;
3, 1;
3, 0, 1;
1, 3, 3, 1;
3, 0, 0, 0, 1;
1, 3, 0, 0, 3, 1;
1, 0, 3, 0, 3, 0, 1;
3, 1, 1, 3, 1, 3, 3, 1;
3, 0, 0, 0, 0, 0, 0, 0, 1;
1, 3, 0, 0, 0, 0, 0, 0, 3, 1;
1, 0, 3, 0, 0, 0, 0, 0, 3, 0, 1;
3, 1, 1, 3, 0, 0, 0, 0, 1, 3, 3, 1;
1, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 1;
3, 1, 0, 0, 1, 3, 0, 0, 1, 3, 0, 0, 3, 1;
3, 0, 1, 0, 1, 0, 3, 0, 1, 0, 3, 0, 3, 0, 1
1, 3, 3, 1, 3, 1, 1, 3, 3, 1, 1, 3, 1, 3, 3, 1;
...
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
STATUS
approved