A104710 Triangle read by rows: reversed partial sums of Narayana triangle rows.

1, 2, 1, 5, 4, 1, 14, 13, 7, 1, 42, 41, 31, 11, 1, 132, 131, 116, 66, 16, 1, 429, 428, 407, 302, 127, 22, 1, 1430, 1429, 1401, 1205, 715, 225, 29, 1, 4862, 4861, 4825, 4489, 3313, 1549, 373, 37, 1, 16796, 16795, 16750, 16210, 13690, 8398, 3106, 586, 46, 1

Offset: 1

Author

Gary W. Adamson, Mar 19 2005

Keywords

• nonn
• tabl
• easy

Comments

The first column is A000108, the Catalan numbers.

If triangles are viewed as lower triangular matrices, then this triangle is A*B where A is the Narayana triangle A001263 and B is the triangle filled with ones.

Crossrefs

Cf. A000108, A001263.

Formula

For 1 <= k <= n, T(n, k) = Sum_{i=k..n} A001263(n, i).

Extensions

Edited and extended by David Wasserman, Nov 02 2005