A144944 - cp's OEIS frontend

A144944 Super-Catalan triangle (read by rows) = triangular array associated with little Schroeder numbers (read by rows): T(0,0)=1, T(p,q) = T(p,q-1) if 0 < p = q, T(p,q) = T(p,q-1) + T(p-1,q) + T(p-1,q-1) if -1 < p < q and T(p,q) = 0 otherwise.

n	a(n)
0	1
1	1
2	1
3	1
4	3
5	3
6	1
7	5
8	11
9	11
10	1
11	7
12	23
13	45
14	45
15	1
16	9
17	39
18	107
19	197
20	197
21	1
22	11
23	59
24	205
25	509
26	903
27	903
28	1
29	13
30	83
31	347
32	1061
33	2473
34	4279
35	4279
36	1
37	15
38	111
39	541
40	1949
41	5483
42	12235
43	20793
44	20793
45	1
46	17
47	143
48	795
49	3285
50	10717
51	28435
52	61463
53	103049
54	103049

[1, 1, 1, 1, 3, 3, 1, 5, 11, 11, 1, 7, 23, 45, 45, 1, 9, 39, 107, 197, 197, 1, 11, 59, 205, 509, 903, 903, 1, 13, 83, 347, 1061, 2473, 4279, 4279, 1, 15, 111, 541, 1949, 5483, 12235, 20793, 20793, 1, 17, 143, 795, 3285, 10717, 28435, 61463, 103049, 103049]

cp's OEIS Frontend

A144944 Super-Catalan triangle (read by rows) = triangular array associated with little Schroeder numbers (read by rows): T(0,0)=1, T(p,q) = T(p,q-1) if 0 < p = q, T(p,q) = T(p,q-1) + T(p-1,q) + T(p-1,q-1) if -1 < p < q and T(p,q) = 0 otherwise.

Table of values

List of values