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1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 4, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 6, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 4, 1, 1, 0, 0, 4, 0, 0, 0, 0, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,6
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COMMENTS
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Row sums = A055653: (1, 2, 3, 3, 5, 6, 7, 5,...)
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LINKS
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FORMULA
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Triangle read by rows, A051731 * (A114810 * 0^(n-k)); where A051731 = the inverse Mobius transform and (A114810 * 0^(n-k)) = an infinite lower triangular matrix with A114810 as the main diagonal: (1, 1, 2, 1, 4, 2, 6,...) and the rest zeros.
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EXAMPLE
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First few rows of the triangle =
1;
1, 1;
1, 0, 2;
1, 1, 0, 1;
1, 0, 0, 0, 4;
1, 1, 2, 0, 0, 2;
1, 0, 0, 0, 0, 0, 6;
1, 1, 0, 1, 0, 0, 0, 2;
1, 0, 2, 0, 0, 0, 0, 0, 4;
1, 1, 0, 0, 4, 0, 0, 0, 0, 4;
1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10;
1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2;
1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12;
1, 1, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 6;
...
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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