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A143724
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Triangle read by rows, inverse Mobius transform of a diagonalized matrix of A116470
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1
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1, 1, 2, 1, 0, 4, 1, 2, 0, 5, 1, 0, 0, 0, 9, 1, 2, 4, 0, 0, 7, 1, 0, 0, 0, 0, 0, 15, 1, 2, 0, 5, 0, 0, 0, 12, 1, 0, 4, 0, 0, 0, 0, 0, 18, 1, 2, 0, 0, 9, 0, 0, 0, 0, 15, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 28, 1, 2, 4, 5, 0, 7, 0, 0, 0, 0, 0, 16
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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COMMENTS
| For n-th row of the triangle, the inverse Mobious transform extracts A116470(k) such that k divides n; 0 otherwise. Row sums = A006218: (1, 3, 5, 8, 10, 14, 16,...).
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FORMULA
| Triangle read by rows, A051731 * (A116470 * 0^(n-k)); 1<=k<=n.
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EXAMPLE
| First few rows of the triangle = 1; 1, 2; 1, 0, 4; 1, 2, 0, 5; 1, 0, 0, 0, 9; 1, 2, 4, 0, 0, 7; 1, 0, 0, 0, 0, 0, 15; 1, 2, 0, 5, 0, 0, 0, 12; ... Example: The divisors of 8 are (1, 2, 4, 8) so row 8 = (1, 2, 0, 5, 0, 0, 0, 12).
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CROSSREFS
| A116470, A051731, A006218
Sequence in context: A185740 A139360 A140882 * A143425 A166555 A136329
Adjacent sequences: A143721 A143722 A143723 * A143725 A143726 A143727
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KEYWORD
| nonn,tabl
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AUTHOR
| Gary W. Adamson (qntmpkt(AT)yahoo.com), Aug 29 2008
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