A162303 Product matrix [C(k,n-k)]*A001263.

1, 1, 1, 2, 4, 1, 3, 12, 8, 1, 5, 31, 39, 13, 1, 8, 73, 148, 93, 19, 1, 13, 162, 481, 486, 186, 26, 1, 21, 344, 1406, 2080, 1274, 332, 34, 1, 34, 707, 3803, 7741, 6920, 2873, 547, 43, 1

Offset: 0

Author

Paul Barry, Jun 30 2009

Keywords

• easy
• nonn
• tabl

Comments

First column is A000045. Row sums are A052705(n+2).

Examples

			Triangle begins
1,
1, 1,
2, 4, 1,
3, 12, 8, 1,
5, 31, 39, 13, 1,
8, 73, 148, 93, 19, 1,
13, 162, 481, 486, 186, 26, 1,
21, 344, 1406, 2080, 1274, 332, 34, 1
		

Formula

Number triangle T(n,k)=sum{j=0..n, C(j,n-j)*C(j+1,k)*C(j+1,k+1)/(j+1)}.