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A167366
Triangle read by rows, 2*A047999 - A097806 (signed) = twice Sierpinski's gasket - the signed pair sum operator.
1
1, 3, 1, 2, 1, 1, 2, 2, 3, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 3, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 3, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 3, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 3, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1
OFFSET
0,2
COMMENTS
Row sums = A167275: (1, 4, 4, 8, 4, 8, 8, 16,...).
FORMULA
Triangle read by rows, 2*A047999 - A096806, the pair sum operator.
A096806 is signed, rightmost diagonal = (+,+,+,...); adjacent diagonal is
signed (-,-,-,...).
EXAMPLE
First few rows of the triangle =
1;
3, 1;
2, 1, 1;
2, 2, 3, 1;
2, 0, 0, 1, 1;
2, 2, 0, 0, 3, 1;
2, 0, 2, 0, 2, 1, 1;
2, 2, 2, 2, 2, 2, 3, 1;
2, 0, 0, 0, 0, 0, 0, 1, 1;
2, 2, 0, 0, 0, 0, 0, 0, 3, 1;
2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1;
2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 3, 1;
2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1;
2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 3, 1;
2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1;
2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1;
2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1;
2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 1;
2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1;
2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 3, 1;
...
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
STATUS
approved