A143019 - cp's OEIS frontend

A143019 Infinite square array read by antidiagonals: a(q,n) is the coefficient of z^n in the series expansion of C(z)^q/(1-4z)^(3/2), where C(z) = (1-sqrt(1-4z))/(2z) is the Catalan function (q,n = 0,1,2,...).

n	a(n)
0	1
1	1
2	6
3	1
4	7
5	30
6	1
7	8
8	38
9	140
10	1
11	9
12	47
13	187
14	630
15	1
16	10
17	57
18	244
19	874
20	2772
21	1
22	11
23	68
24	312
25	1186
26	3958
27	12012
28	1
29	12
30	80
31	392
32	1578
33	5536
34	17548
35	51480
36	1
37	13
38	93
39	485
40	2063
41	7599
42	25147
43	76627
44	218790
45	1
46	14
47	107
48	592
49	2655
50	10254
51	35401
52	112028
53	330818

[1, 1, 6, 1, 7, 30, 1, 8, 38, 140, 1, 9, 47, 187, 630, 1, 10, 57, 244, 874, 2772, 1, 11, 68, 312, 1186, 3958, 12012, 1, 12, 80, 392, 1578, 5536, 17548, 51480, 1, 13, 93, 485, 2063, 7599, 25147, 76627, 218790, 1, 14, 107, 592, 2655, 10254, 35401, 112028, 330818]

cp's OEIS Frontend

A143019 Infinite square array read by antidiagonals: a(q,n) is the coefficient of z^n in the series expansion of C(z)^q/(1-4z)^(3/2), where C(z) = (1-sqrt(1-4z))/(2z) is the Catalan function (q,n = 0,1,2,...).

Table of values

List of values