A179233 Irregular triangle T(n,k) = A049019(n,k)/A096162(n,k) read along rows, 1<=k <= A000041(n).

1, 1, 1, 1, 6, 1, 1, 8, 3, 18, 1, 1, 10, 20, 30, 45, 40, 1, 1, 12, 30, 10, 45, 360, 15, 80, 270, 75, 1, 1, 14, 42, 70, 63, 630, 210, 315, 140, 2520, 420, 175, 1050, 126, 1, 1, 16, 56, 112, 35, 84, 1008, 1680, 630, 840, 224, 5040, 1680

Offset: 1

Author

Alford Arnold, Jul 08 2010

Keywords

• easy
• nonn
• tabf

Comments

Each row n of A049019, of A096162 and of the triangle here has A000041(n) entries.

Examples

			A049019(.,.) begins 1; 1; 2, 1; 6, 6, 1; 8, 6, 36, 24, ...
A096162(.,.) begins 1; 1; 2, 1; 1, 6, 1; 1, 2, 2, 24 ...
so
T(.,.) begins ..... 1; 1; 1, 1; 6, 1, 1; 8, 3, 18, 1 ...
		

Crossrefs

Cf. A000041, A000670, A096161.

Formula

T(n,k) = A049019(n,k) / A096162(n,k) = A048996(n,k) * A036040(n,k).

Sum_{k=1..A000041(n)} T(n,k) = A120774(n).

Extensions

Extended, and bivariate indices restored - R. J. Mathar, Jul 13 2010