A322967 - cp's OEIS frontend

A322967 Square array A(n,k), n >= 1, k >= 1, read by antidiagonals, where A(n,k) is the number of distinct products Product_{j=1..k} b_j with 1 <= b_j<= n.

n	a(n)
1	1
2	1
3	2
4	1
5	3
6	3
7	1
8	4
9	6
10	4
11	1
12	5
13	10
14	9
15	5
16	1
17	6
18	15
19	16
20	14
21	6
22	1
23	7
24	21
25	25
26	30
27	18
28	7
29	1
30	8
31	28
32	36
33	55
34	40
35	25
36	8
37	1
38	9
39	36
40	49
41	91
42	75
43	65
44	30
45	9
46	1
47	10
48	45
49	64
50	140
51	126
52	140
53	80
54	36
55	10
56	1
57	11
58	55
59	81
60	204
61	196
62	266
63	175
64	100
65	42
66	11

[1, 1, 2, 1, 3, 3, 1, 4, 6, 4, 1, 5, 10, 9, 5, 1, 6, 15, 16, 14, 6, 1, 7, 21, 25, 30, 18, 7, 1, 8, 28, 36, 55, 40, 25, 8, 1, 9, 36, 49, 91, 75, 65, 30, 9, 1, 10, 45, 64, 140, 126, 140, 80, 36, 10, 1, 11, 55, 81, 204, 196, 266, 175, 100, 42, 11]

cp's OEIS Frontend

A322967 Square array A(n,k), n >= 1, k >= 1, read by antidiagonals, where A(n,k) is the number of distinct products Product_{j=1..k} b_j with 1 <= b_j<= n.

Table of values

List of values

n	a(n)
1	1
2	1
3	2
4	1
5	3
6	3
7	1
8	4
9	6
10	4
11	1
12	5
13	10
14	9
15	5
16	1
17	6
18	15
19	16
20	14
21	6
22	1
23	7
24	21
25	25
26	30
27	18
28	7
29	1
30	8
31	28
32	36
33	55
34	40
35	25
36	8
37	1
38	9
39	36
40	49
41	91
42	75
43	65
44	30
45	9
46	1
47	10
48	45
49	64
50	140
51	126
52	140
53	80
54	36
55	10
56	1
57	11
58	55
59	81
60	204
61	196
62	266
63	175
64	100
65	42
66	11

n	a(n)
1	1
2	1
3	2
4	1
5	3
6	3
7	1
8	4
9	6
10	4
11	1
12	5
13	10
14	9
15	5
16	1
17	6
18	15
19	16
20	14
21	6
22	1
23	7
24	21
25	25
26	30
27	18
28	7
29	1
30	8
31	28
32	36
33	55
34	40
35	25
36	8
37	1
38	9
39	36
40	49
41	91
42	75
43	65
44	30
45	9
46	1
47	10
48	45
49	64
50	140
51	126
52	140
53	80
54	36
55	10
56	1
57	11
58	55
59	81
60	204
61	196
62	266
63	175
64	100
65	42
66	11

n	a(n)
1	1
2	1
3	2
4	1
5	3
6	3
7	1
8	4
9	6
10	4
11	1
12	5
13	10
14	9
15	5
16	1
17	6
18	15
19	16
20	14
21	6
22	1
23	7
24	21
25	25
26	30
27	18
28	7
29	1
30	8
31	28
32	36
33	55
34	40
35	25
36	8
37	1
38	9
39	36
40	49
41	91
42	75
43	65
44	30
45	9
46	1
47	10
48	45
49	64
50	140
51	126
52	140
53	80
54	36
55	10
56	1
57	11
58	55
59	81
60	204
61	196
62	266
63	175
64	100
65	42
66	11