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A105567 Moebius transform of multiplication table, read by antidiagonals. 2
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified July 5 17:29 EDT 2020. Contains 335473 sequences. (Running on oeis4.)