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A180010
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Triangle T(n,k) read by rows. Matrix inverse of A180009.
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1
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1, -1, -1, -1, 0, -1, 0, 0, 0, -1, -1, 1, -1, 0, -1, 1, -2, 2, -1, 0, -1, -1, 4, -3, 1, -1, 0, -1, 0, -6, 4, -2, 1, -1, 0, -1, 0, 11, -6, 4, -3, 1, -1, 0, -1, 1, -21, 12, -7, 5, -3, 1, -1, 0, -1, -1, 35, -21, 11, -7, 4, -3, 1, -1, 0, -1, 0, -56, 34, -19, 11, -6, 4, -3, 1, -1, 0, -1, -1
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OFFSET
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1,17
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COMMENTS
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First column is mu(n). It could perhaps be said that the Mobius function is an invariant under the modified divisibility recurrence together with matrix inversion.
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LINKS
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EXAMPLE
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Table begins:
1,
-1,-1,
-1,0,-1,
0,0,0,-1,
-1,1,-1,0,-1,
1,-2,2,-1,0,-1,
-1,4,-3,1,-1,0,-1,
0,-6,4,-2,1,-1,0,-1,
0,11,-6,4,-3,1,-1,0,-1,
1,-21,12,-7,5,-3,1,-1,0,-1,
-1,35,-21,11,-7,4,-3,1,-1,0,-1,
0,-56,34,-19,11,-6,4,-3,1,-1,0,-1,
-1,100,-59,35,-21,11,-7,4,-3,1,-1,0,-1,
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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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