Voozh

A130094

A051731 * an infinite lower triangular matrix with A007427 in the main diagonal.

1, 1, -2, 1, 0, -2, 1, -2, 0, 1, 1, 0, 0, 0, -2, 1, -2, -2, 0, 0, 4, 1, 0, 0, 0, 0, 0, -2, 1, -2, 0, 1, 0, 0, 0, 0, 1, 0, -2, 0, 0, 0, 0, 0, 1, 1, -2, 0, 0, -2, 0, 0, 0, 0, 4

(list; table; graph; refs; listen; history; text; internal format)

OFFSET

1,3

COMMENTS

Right border = A007427. Row sums = mu(n), A008683. Nonzero terms by rows are substituted for the factors of n such that row sums = mu(n). Example: for row 6 we map (1, -2, -2, 0, 4), sum = 1, since the factors of 6 are 1, 2, 3 and 6.

LINKS

Table of n, a(n) for n=1..55.

FORMULA

Inverse Möbius transform of a triangular matrix with A007427 in the main diagonal and the rest zeros.

EXAMPLE

First few rows of the triangle are:

1, -2;

1, 0, -2;

1, -2, 0, 1;

1, 0, 0, 0, -2;

1, -2, -2, 0, 0, 4;

1, 0, 0, 0, 0, 0, -2;