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A143810
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Eigentriangle of A051731, the inverse Mobius transform.
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0
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1, 1, 1, 1, 0, 2, 1, 1, 0, 3, 1, 0, 0, 0, 5, 1, 1, 2, 0, 0, 6, 1, 0, 0, 0, 0, 0, 10, 1, 1, 0, 3, 0, 0, 0, 11, 1, 0, 2, 0, 0, 0, 0, 0, 16, 1, 1, 0, 0, 5, 0, 0, 0, 0, 19, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 26, 1, 1, 2, 3, 0, 6, 0, 0, 0, 0, 0, 27, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40
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OFFSET
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1,6
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COMMENTS
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Right border = A003238. Row sums = A003238 shifted one place to the left.
Sum of n-th row terms = rightmost term of next row. The sequence A003238: (1, 1, 2, 3, 5, 6, 10, 11,...) = the eigensequence of the inverse Mobius transform, A051731.
First few rows of the triangle =
1;
1, 1;
1, 0, 2;
1, 1, 0, 3;
1, 0, 0, 0, 5;
1, 1, 2, 0, 0, 6;
1, 0, 0, 0, 0, 0, 10;
1, 1, 0, 3, 0, 0, 0, 11;
1, 0, 2, 0, 0, 0, 0, 0, 16;
1, 1, 0, 0, 5, 0, 0, 0, 0, 19;
...
n-th row = termwise product of A051731 terms and the first n terms of A003238: (1, 1, 2, 3, 5, 6, 10, 11,...). Example: row 6 = (1, 1, 2, 0, 0, 6) = termwise product of (1, 1, 1, 0, 0, 1) and (1, 1, 2, 3, 5, 6).
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LINKS
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FORMULA
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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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