A115296 Skew version of correlation triangle for constant sequence 1.

1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 3, 2, 1, 0, 0, 0, 0, 2, 3, 2, 1, 0, 0, 0, 0, 1, 3, 3, 2, 1, 0, 0, 0, 0, 0, 2, 4, 3, 2, 1, 0, 0, 0, 0, 0, 1, 3, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 2, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 1, 3, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 4, 5, 4, 3, 2, 1

Offset: 0

Author

Paul Barry, Jan 19 2006

Keywords

• easy
• nonn
• tabl

Comments

Row sums are A001399. Diagonal sums are A025795.

Examples

			Triangle begins
1;
0,1;
0,1,1;
0,0,2,1;
0,0,1,2,1;
0,0,0,2,2,1;
0,0,0,1,3,2,1;
0,0,0,0,2,3,2,1;
		

Formula

G.f.: 1/((1-x*y)*(1-x^2*y)*(1-x^3*y^2)); Number triangle T(n, k)=sum{j=0..k, [j<=n-k]*[j<=2k-n]}; T(n, k)=A003983(k, n-k).