A173265 - cp's OEIS frontend

A173265 T(0,k) = 1 and T(n,k) = [x^k] (1 - x^(n + 1))/(1 - x)^(n + 1) for n >= 1, square array read by descending antidiagonals(n >= 0, k >= 0).

n	a(n)
0	1
1	1
2	1
3	1
4	2
5	1
6	1
7	2
8	3
9	1
10	1
11	2
12	6
13	4
14	1
15	1
16	2
17	9
18	10
19	5
20	1
21	1
22	2
23	12
24	20
25	15
26	6
27	1
28	1
29	2
30	15
31	34
32	35
33	21
34	7
35	1
36	1
37	2
38	18
39	52
40	70
41	56
42	28
43	8
44	1
45	1
46	2
47	21
48	74
49	125
50	126
51	84
52	36
53	9
54	1
55	1
56	2
57	24
58	100
59	205
60	252
61	210
62	120
63	45
64	10
65	1
66	1
67	2
68	27
69	130
70	315
71	461
72	462
73	330
74	165
75	55
76	11
77	1

[1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 2, 6, 4, 1, 1, 2, 9, 10, 5, 1, 1, 2, 12, 20, 15, 6, 1, 1, 2, 15, 34, 35, 21, 7, 1, 1, 2, 18, 52, 70, 56, 28, 8, 1, 1, 2, 21, 74, 125, 126, 84, 36, 9, 1, 1, 2, 24, 100, 205, 252, 210, 120, 45, 10, 1, 1, 2, 27, 130, 315, 461, 462, 330, 165, 55, 11, 1]

cp's OEIS Frontend

A173265 T(0,k) = 1 and T(n,k) = [x^k] (1 - x^(n + 1))/(1 - x)^(n + 1) for n >= 1, square array read by descending antidiagonals(n >= 0, k >= 0).

Table of values

List of values

n	a(n)
0	1
1	1
2	1
3	1
4	2
5	1
6	1
7	2
8	3
9	1
10	1
11	2
12	6
13	4
14	1
15	1
16	2
17	9
18	10
19	5
20	1
21	1
22	2
23	12
24	20
25	15
26	6
27	1
28	1
29	2
30	15
31	34
32	35
33	21
34	7
35	1
36	1
37	2
38	18
39	52
40	70
41	56
42	28
43	8
44	1
45	1
46	2
47	21
48	74
49	125
50	126
51	84
52	36
53	9
54	1
55	1
56	2
57	24
58	100
59	205
60	252
61	210
62	120
63	45
64	10
65	1
66	1
67	2
68	27
69	130
70	315
71	461
72	462
73	330
74	165
75	55
76	11
77	1

n	a(n)
0	1
1	1
2	1
3	1
4	2
5	1
6	1
7	2
8	3
9	1
10	1
11	2
12	6
13	4
14	1
15	1
16	2
17	9
18	10
19	5
20	1
21	1
22	2
23	12
24	20
25	15
26	6
27	1
28	1
29	2
30	15
31	34
32	35
33	21
34	7
35	1
36	1
37	2
38	18
39	52
40	70
41	56
42	28
43	8
44	1
45	1
46	2
47	21
48	74
49	125
50	126
51	84
52	36
53	9
54	1
55	1
56	2
57	24
58	100
59	205
60	252
61	210
62	120
63	45
64	10
65	1
66	1
67	2
68	27
69	130
70	315
71	461
72	462
73	330
74	165
75	55
76	11
77	1

n	a(n)
0	1
1	1
2	1
3	1
4	2
5	1
6	1
7	2
8	3
9	1
10	1
11	2
12	6
13	4
14	1
15	1
16	2
17	9
18	10
19	5
20	1
21	1
22	2
23	12
24	20
25	15
26	6
27	1
28	1
29	2
30	15
31	34
32	35
33	21
34	7
35	1
36	1
37	2
38	18
39	52
40	70
41	56
42	28
43	8
44	1
45	1
46	2
47	21
48	74
49	125
50	126
51	84
52	36
53	9
54	1
55	1
56	2
57	24
58	100
59	205
60	252
61	210
62	120
63	45
64	10
65	1
66	1
67	2
68	27
69	130
70	315
71	461
72	462
73	330
74	165
75	55
76	11
77	1