A124568 Triangle, read by rows, where row n equals the inverse binomial transform of the column n in rectangular table A124550 (starting with row 1).

1, 1, 1, 2, 5, 3, 5, 25, 36, 16, 16, 143, 364, 362, 125, 66, 990, 3909, 6417, 4728, 1296, 348, 8464, 48518, 116274, 135932, 76867, 16807, 2321, 89741, 720078, 2370938, 3923330, 3441366, 1518460, 262144, 19437, 1180978, 12965026, 56627440

Offset: 0

Author

Paul D. Hanna, Nov 08 2006

Keywords

• nonn
• tabl

Examples

			Triangle begins:
1;
1, 1;
2, 5, 3;
5, 25, 36, 16;
16, 143, 364, 362, 125;
66, 990, 3909, 6417, 4728, 1296;
348, 8464, 48518, 116274, 135932, 76867, 16807;
2321, 89741, 720078, 2370938, 3923330, 3441366, 1518460, 262144; ...
		

Crossrefs

Cf. A124550, A124551, A000272.

Formula

T(n,n) = (n+1)^(n-1) = A000272(n+1). T(n,0) = A124551(n).