A366986 - cp's OEIS frontend

A366986 Square array T(n,k), n >= 1, k >= 0, read by antidiagonals downwards, where T(n,k) = Sum_{d|n} binomial(d+k-1,k).

n	a(n)
1	1
2	1
3	2
4	1
5	3
6	2
7	1
8	4
9	4
10	3
11	1
12	5
13	7
14	7
15	2
16	1
17	6
18	11
19	14
20	6
21	4
22	1
23	7
24	16
25	25
26	16
27	12
28	2
29	1
30	8
31	22
32	41
33	36
34	31
35	8
36	4
37	1
38	9
39	29
40	63
41	71
42	71
43	29
44	15
45	3
46	1
47	10
48	37
49	92
50	127
51	147
52	85
53	50
54	13
55	4
56	1
57	11
58	46
59	129
60	211
61	280
62	211
63	145
64	52
65	18
66	2
67	1
68	12
69	56
70	175
71	331
72	498
73	463
74	371
75	176
76	74
77	12
78	6

[1, 1, 2, 1, 3, 2, 1, 4, 4, 3, 1, 5, 7, 7, 2, 1, 6, 11, 14, 6, 4, 1, 7, 16, 25, 16, 12, 2, 1, 8, 22, 41, 36, 31, 8, 4, 1, 9, 29, 63, 71, 71, 29, 15, 3, 1, 10, 37, 92, 127, 147, 85, 50, 13, 4, 1, 11, 46, 129, 211, 280, 211, 145, 52, 18, 2, 1, 12, 56, 175, 331, 498, 463, 371, 176, 74, 12, 6]

cp's OEIS Frontend

A366986 Square array T(n,k), n >= 1, k >= 0, read by antidiagonals downwards, where T(n,k) = Sum_{d|n} binomial(d+k-1,k).

Table of values

List of values

n	a(n)
1	1
2	1
3	2
4	1
5	3
6	2
7	1
8	4
9	4
10	3
11	1
12	5
13	7
14	7
15	2
16	1
17	6
18	11
19	14
20	6
21	4
22	1
23	7
24	16
25	25
26	16
27	12
28	2
29	1
30	8
31	22
32	41
33	36
34	31
35	8
36	4
37	1
38	9
39	29
40	63
41	71
42	71
43	29
44	15
45	3
46	1
47	10
48	37
49	92
50	127
51	147
52	85
53	50
54	13
55	4
56	1
57	11
58	46
59	129
60	211
61	280
62	211
63	145
64	52
65	18
66	2
67	1
68	12
69	56
70	175
71	331
72	498
73	463
74	371
75	176
76	74
77	12
78	6

n	a(n)
1	1
2	1
3	2
4	1
5	3
6	2
7	1
8	4
9	4
10	3
11	1
12	5
13	7
14	7
15	2
16	1
17	6
18	11
19	14
20	6
21	4
22	1
23	7
24	16
25	25
26	16
27	12
28	2
29	1
30	8
31	22
32	41
33	36
34	31
35	8
36	4
37	1
38	9
39	29
40	63
41	71
42	71
43	29
44	15
45	3
46	1
47	10
48	37
49	92
50	127
51	147
52	85
53	50
54	13
55	4
56	1
57	11
58	46
59	129
60	211
61	280
62	211
63	145
64	52
65	18
66	2
67	1
68	12
69	56
70	175
71	331
72	498
73	463
74	371
75	176
76	74
77	12
78	6

n	a(n)
1	1
2	1
3	2
4	1
5	3
6	2
7	1
8	4
9	4
10	3
11	1
12	5
13	7
14	7
15	2
16	1
17	6
18	11
19	14
20	6
21	4
22	1
23	7
24	16
25	25
26	16
27	12
28	2
29	1
30	8
31	22
32	41
33	36
34	31
35	8
36	4
37	1
38	9
39	29
40	63
41	71
42	71
43	29
44	15
45	3
46	1
47	10
48	37
49	92
50	127
51	147
52	85
53	50
54	13
55	4
56	1
57	11
58	46
59	129
60	211
61	280
62	211
63	145
64	52
65	18
66	2
67	1
68	12
69	56
70	175
71	331
72	498
73	463
74	371
75	176
76	74
77	12
78	6