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A127475
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Triangle T(n,k) read by rows: T(n,k) = mu(n)*phi(k) if k|n, else T(n,k)=0.
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1
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1, -1, -1, -1, 0, -2, 0, 0, 0, 0, -1, 0, 0, 0, -4, 1, 1, 2, 0, 0, 2, -1, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 4, 0, 0, 0, 0, 4, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,6
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LINKS
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Table of n, a(n) for n=1..91.
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FORMULA
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T(n,k) = A054522(n,k)*A008683(n).
T(n,1) = A008683(n) = mu(n).
T(n,n) = A097945(n).
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EXAMPLE
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The triangle starts in row n=1 as:
1;
-1, -1;
-1, 0, -2;
0, 0, 0, 0;
-1, 0, 0, 0, -4;
1, 1, 2, 0, 0, 2;
-1, 0, 0, 0, 0, 0, -6;
...
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CROSSREFS
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Cf. A008683, A054522, A055615 (row sums), A097945, A023900.
Sequence in context: A083892 A089814 A063100 * A086014 A025437 A066032
Adjacent sequences: A127472 A127473 A127474 * A127476 A127477 A127478
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KEYWORD
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tabl,easy,sign
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AUTHOR
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Gary W. Adamson, Jan 15 2007
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STATUS
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approved
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