OFFSET
0,8
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 - 2*x^2)/(1 - 3*x^2 + x^4), (x*(1-x^2))/(1 - 2*x^2)).
EXAMPLE
Triangle begins:
1;
0, 1;
1, 0, 1;
0, 2, 0, 1;
2, 0, 3, 0, 1;
0, 5, 0, 4, 0, 1;
5, 0, 9, 0, 5, 0, 1;
0, 13, 0, 14, 0, 6, 0, 1;
13, 0, 26, 0, 20, 0, 7, 0, 1;
0, 34, 0, 45, 0, 27, 0, 8, 0, 1;
34, 0, 73, 0, 71, 0, 35, 0, 9, 0, 1;
0, 89, 0, 137, 0, 105, 0, 44, 0, 10, 0, 1;
89, 0, 201, 0, 234, 0, 148, 0, 54, 0, 11, 0, 1;
0, 233, 0, 402, 0, 373, 0, 201, 0, 65, 0, 12, 0, 1;
...
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
José Luis Ramírez Ramírez, Dec 05 2018
STATUS
approved