A105586 A Moebius-binomial triangle.

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1

Offset: 0

Author

Paul Barry, Apr 14 2005

Keywords

• easy
• nonn
• tabl

Comments

n-th row is all 1's unless n is not squarefree (see A013929). Row sums are A105587. Diagonal sums are A105588. Inverse is A105589.

Examples

			Triangle starts
1;
1,1;
1,1,1;
1,1,1,1;
0,0,0,0,1;
1,1,1,1,1,1;
1,1,1,1,1,1,1;
1,1,1,1,1,1,1,1;
0,0,0,0,1,0,0,0,1;
		

Formula

Number triangle T(n, k)=if(k<=n, binomial(abs(mu(n)), abs(mu(k))), 0)