A318945 Triangle read by rows: T(n,k) (n>=2, 0 <= k <= n-2) = number of Dyck paths with k valleys of altitude k.

1, 4, 1, 13, 5, 1, 39, 19, 6, 1, 112, 64, 26, 7, 1, 313, 201, 97, 34, 8, 1, 859, 603, 331, 139, 43, 9, 1, 2328, 1752, 1064, 512, 191, 53, 10, 1

Offset: 2

Author

N. J. A. Sloane, Sep 18 2018

Keywords

• nonn
• tabl
• more

Examples

			Triangle begins:
1,
4,1,
13,5,1,
39,19,6,1,
112,64,26,7,1,
313,201,97,34,8,1,
859,603,331,139,43,9,1,
2328,1752,1064,512,191,53,10,1,
...
		

Links

• Czabarka, É., Flórez, R., Junes, L., & Ramírez, J. L., Enumerations of peaks and valleys on non-decreasing Dyck paths, Discrete Mathematics (2018), 341(10), 2789-2807.

Crossrefs

Columns 0, 1, 2. 3 are A105693, A318946, A318947, A319405.