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A128407
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Triangle read by rows: T(n,n) = mobius(n) on the diagonal, zero elsewhere.
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21
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1, 0, -1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1
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graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,1
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COMMENTS
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A128407 * [1,2,3,...] = n*mu(n), A055615: (1, -2, -3, 0, -5, 6, -7, 0, ...). A051731 * A128407 = A054524. A128407 * A051731 = A128408.
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LINKS
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FORMULA
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Infinite lower triangular matrix with mu(n), A008683, as the right border and the rest zeros.
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EXAMPLE
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First few rows of the triangle:
1;
0, -1;
0, 0, -1;
0, 0, 0, 0;
0, 0, 0, 0, -1;
0, 0, 0, 0, 0, 1;
0, 0, 0, 0, 0, 0, -1;
...
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MATHEMATICA
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Table[PadLeft[{MoebiusMu[n]}, n], {n, 10}]//Flatten (* Harvey P. Dale, Dec 29 2021 *)
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CROSSREFS
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KEYWORD
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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