A065077 - cp's OEIS frontend

A065077 Triangle read by rows: T(n,m) = C[n,m,m] where C[i,j,k] is the 3-dimensional Catalan pyramid defined by C[0,0,0]=1 and C[i,j,k]=0 if j>i or k>j and C[i,j,k]=C[i-1,j,k]+C[i,j-1,k]+C[i,j,k-1].

n	a(n)
0	1
1	1
2	1
3	1
4	3
5	5
6	1
7	6
8	21
9	42
10	1
11	10
12	56
13	210
14	462
15	1
16	15
17	120
18	660
19	2574
20	6006
21	1
22	21
23	225
24	1650
25	9009
26	36036
27	87516
28	1
29	28
30	385
31	3575
32	25025
33	136136
34	554268
35	1385670
36	1
37	36
38	616
39	7007
40	60060
41	408408
42	2217072
43	9145422
44	23371634
45	1
46	45
47	936
48	12740
49	129948

[1, 1, 1, 1, 3, 5, 1, 6, 21, 42, 1, 10, 56, 210, 462, 1, 15, 120, 660, 2574, 6006, 1, 21, 225, 1650, 9009, 36036, 87516, 1, 28, 385, 3575, 25025, 136136, 554268, 1385670, 1, 36, 616, 7007, 60060, 408408, 2217072, 9145422, 23371634, 1, 45, 936, 12740, 129948]

cp's OEIS Frontend

A065077 Triangle read by rows: T(n,m) = C[n,m,m] where C[i,j,k] is the 3-dimensional Catalan pyramid defined by C[0,0,0]=1 and C[i,j,k]=0 if j>i or k>j and C[i,j,k]=C[i-1,j,k]+C[i,j-1,k]+C[i,j,k-1].

Table of values

List of values