A105567 Moebius transform of multiplication table, read by antidiagonals.

1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, -1, -1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, -1, -1, 0, 0, -1, -1, 1, 1, 1, 0, -1, 0, -1, 0, 1, 1, 1, 0, -1, 0, 0, 0, 0, -1, 0, 1, 1, 0, 0, -1, 0, 0, 0, -1, 0, 0, 1, 1, -1, 0, 0, 0, 1, 1, 0, 0, 0, -1, 1, 1, 1, 0, 0, 0, -1, 0, -1, 0, 0, 0, 1, 1, 1, 0, -1, 1, 0, 0, 1, 1, 0, 0, 1, -1, 0, 1, 1, 1, 0, -1, 0

Offset

0,1

Comments

Rows sum of triangle are A105568. Diagonal sums are A105569.

Links

Table of n, a(n) for n=0..109.

Formula

As a table read by antidiagonals, T(n, k) = -mu(k*n);

As a number triangle read by rows, T(n, k) = if(k<=n, -mu(k(n-k)), 0).

Example

Triangle begins
  1;
  1,  1;
  1, -1,  1;
  1,  1,  1,  1;
  1,  1,  0,  1,  1;
  1,  0, -1, -1,  0,  1;

Crossrefs

Cf. A003991.

Sequence in context: A196368 A178788 A131217 * A114213 A108358 A267959

Adjacent sequences: A105564 A105565 A105566 * A105568 A105569 A105570

Keyword

easy,sign,tabl

Author

Paul Barry, Apr 14 2005

Status

approved