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

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,
-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

Cf. A180009, A008683.

Sequence in context: A358095 A180009 A341907 * A287401 A003406 A226289

Adjacent sequences: A180007 A180008 A180009 * A180011 A180012 A180013

Keyword

sign,tabl

Author

Mats Granvik, Aug 06 2010

Status

approved