OFFSET
0,4
LINKS
R. Flórez and J. L. Ramírez, Some enumerations on non-decreasing Motzkin paths, Australasian Journal of Combinatorics, 72(1) (2018), 138-154.
FORMULA
Riordan array: ((1 - x - 2*x^2 + x^3)/(1 - 2*x - 2*x^2 + 3x^3 - x^5),(x*(1-x)^2*(1+x))/(1 - 2*x - x^2 + 2*x^3 - x^4)).
EXAMPLE
Triangle begins:
1;
1, 1;
2, 2, 1;
4, 5, 3, 1;
9, 12, 9, 4, 1;
21, 30, 25, 14, 5, 1;
49, 74, 69, 44, 20, 6, 1;
115, 182, 185, 133, 70, 27, 7, 1;
269, 444, 488, 386, 230, 104, 35, 8, 1;
630, 1078, 1266, 1090, 718, 369, 147, 44, 9, 1;
1474, 2605, 3245, 3006, 2161, 1232, 560, 200, 54, 10, 1;
...
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
José Luis Ramírez Ramírez, Dec 03 2018
STATUS
approved