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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
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 1,6
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COMMENTS
| 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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FORMULA
| Triangle read by rows, A051731 * (A003238 * 0^(n-k)); 1<=k<=n
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CROSSREFS
| A051731, Cf. A003238
Sequence in context: A064577 A113949 A152434 * A128589 A130162 A175595
Adjacent sequences: A143807 A143808 A143809 * A143811 A143812 A143813
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KEYWORD
| nonn,tabl
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AUTHOR
| Gary W. Adamson (qntmpkt(AT)yahoo.com), Sep 01 2008
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