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

0,4

Links

Table of n, a(n) for n=0..39.

Formula

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

Example

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.

Sequence in context: A299210 A104978 A365723 * A091807 A085825 A198140

Adjacent sequences: A124565 A124566 A124567 * A124569 A124570 A124571

Keyword

nonn,tabl

Author

Paul D. Hanna, Nov 08 2006

Status

approved