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

1,2

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.

Links

Table of n, a(n) for n=1..55.

Formula

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

Crossrefs

Cf. A000108, A001263.

Sequence in context: A171488 A171651 A348451 * A039598 A128738 A193673

Adjacent sequences: A104707 A104708 A104709 * A104711 A104712 A104713

Keyword

nonn,tabl,easy

Author

Gary W. Adamson, Mar 19 2005

Extensions

Edited and extended by David Wasserman, Nov 02 2005

Status

approved