A130746 Triangle read by rows: T(n,m) = binomial(n+m,1+n), 1<=m<=n.

1, 1, 4, 1, 5, 15, 1, 6, 21, 56, 1, 7, 28, 84, 210, 1, 8, 36, 120, 330, 792, 1, 9, 45, 165, 495, 1287, 3003, 1, 10, 55, 220, 715, 2002, 5005, 11440, 1, 11, 66, 286, 1001, 3003, 8008, 19448, 43758, 1, 12, 78, 364, 1365, 4368, 12376, 31824, 75582, 167960

Offset: 1

Author

Roger L. Bagula, Jul 12 2007

Keywords

• nonn
• tabl
• easy

Comments

Row sums are A002054.

Examples

			1;
1, 4;
1, 5, 15;
1, 6, 21, 56;
1, 7, 28, 84, 210;
1, 8, 36, 120, 330, 792;
1, 9, 45, 165, 495, 1287, 3003;
1, 10, 55, 220, 715, 2002, 5005, 11440;
		

Crossrefs

Cf. A178300, A046899, A059481, A002054, A000292.

Programs

Mathematica

Table[Table[Binomial[n + i, i + 1], {n, 1, i}], {i, 1, 10}] Flatten[%]