A127475 - OEIS

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A127475

Triangle T(n,k) read by rows: T(n,k) = mu(n)*phi(k) if k|n, else T(n,k)=0.

1, -1, -1, -1, 0, -2, 0, 0, 0, 0, -1, 0, 0, 0, -4, 1, 1, 2, 0, 0, 2, -1, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 4, 0, 0, 0, 0, 4, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12

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OFFSET

1,6

LINKS

Table of n, a(n) for n=1..91.

FORMULA

T(n,k) = A054522(n,k)*A008683(n).

T(n,1) = A008683(n) = mu(n).

T(n,n) = A097945(n).

EXAMPLE

The triangle starts in row n=1 as:

-1, -1;