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A180010
Triangle T(n,k) read by rows. Matrix inverse of A180009.
1
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
OFFSET
1,17
COMMENTS
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.
EXAMPLE
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,
CROSSREFS
Sequence in context: A358095 A180009 A341907 * A287401 A003406 A226289
KEYWORD
sign,tabl
AUTHOR
Mats Granvik, Aug 06 2010
STATUS
approved