A270577 - cp's OEIS frontend

A270577 Generalized Catalan numbers C(3,n), where the (m,n)-th Catalan is the number of paths in R^m from the origin to the point (n,...,n,(m-1)n) with m kinds of moves such that the path never rises above the hyperplane x_m = x_1+...+x_{m-1}.

n	a(n)
0	1
1	4
2	84
3	2640
4	100100
5	4232592
6	192203088
7	9178678080
8	455053212900
9	23222793594000
10	1212760632317520
11	64534727833692480
12	3488102039411078544
13	191031492362224091200
14	10580671081188491976000
15	591771245038033007566080
16	33380437374581432902637220

[1, 4, 84, 2640, 100100, 4232592, 192203088, 9178678080, 455053212900, 23222793594000, 1212760632317520, 64534727833692480, 3488102039411078544, 191031492362224091200, 10580671081188491976000, 591771245038033007566080, 33380437374581432902637220]

cp's OEIS Frontend

A270577 Generalized Catalan numbers C(3,n), where the (m,n)-th Catalan is the number of paths in R^m from the origin to the point (n,...,n,(m-1)n) with m kinds of moves such that the path never rises above the hyperplane x_m = x_1+...+x_{m-1}.

Table of values

List of values