A143129 Triangle read by rows, T(n,k) = sum {j=k..n} A000292(j) = A000012 * (A000292 * 0^(n-k)) * A000012, 1<=k<=n.

1, 5, 4, 15, 14, 10, 35, 34, 30, 20, 70, 69, 65, 55, 35, 126, 125, 121, 111, 91, 56, 210, 209, 205, 195, 175, 140, 84, 330, 329, 325, 315, 295, 260, 204, 120, 495, 494, 490, 480, 460, 425, 369, 285, 165, 715, 714, 710, 700, 680, 645, 589, 505, 385, 220, 1001, 1000

Offset: 1

Author

Gary W. Adamson, Jul 26 2008

Keywords

• nonn
• tabl

Comments

Row sums = A034263: (1, 9, 39, 119, 294,...).

Examples

			First few rows of the triangle =
1;
5, 4;
15, 14, 10;
35, 34, 30, 20;
70, 69, 65, 55, 35;
126, 125, 121, 111, 91, 56;
210, 209l 205, 195, 175, 140, 84;
...
T(5,3) = 65 = (10 + 20 + 35), where A000292 = (1, 4, 10, 20, 35,...)
		

Crossrefs

Cf. A000292, A034263.

Formula

Triangle read by rows, T(n,k) = sum {j=k..n} A000292(j) = A000012 * (A000292 * 0^(n-k)) * A000012, 1<=k<=n