A180010 - OEIS

A180010

Triangle T(n,k) read by rows. Matrix inverse of A180009.

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

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.

LINKS

Table of n, a(n) for n=1..79.

EXAMPLE

Table begins:

-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,