A307998 - cp's OEIS frontend

A307998 Irregular triangle read by rows, n > 0 and k = 0..PrimePi(n): T(n, k) is the number of Q-linearly independent subsets of { log(1), ..., log(n) } with k elements (where PrimePi corresponds to A000720, the prime-counting function).

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	1
7	1
8	3
9	2
10	1
11	4
12	5
13	2
14	1
15	5
16	9
17	5
18	1
19	6
20	14
21	14
22	5
23	1
24	7
25	18
26	19
27	7
28	1
29	8
30	24
31	28
32	11
33	1
34	9
35	32
36	49
37	25
38	1
39	10
40	41
41	81
42	74
43	25
44	1
45	11
46	51
47	111
48	108
49	38
50	1
51	12
52	62
53	162
54	219
55	146
56	38
57	1
58	13
59	74
60	221
61	351
62	276
63	84
64	1
65	14
66	87
67	293
68	526
69	457
70	150

[1, 1, 1, 1, 2, 1, 1, 3, 2, 1, 4, 5, 2, 1, 5, 9, 5, 1, 6, 14, 14, 5, 1, 7, 18, 19, 7, 1, 8, 24, 28, 11, 1, 9, 32, 49, 25, 1, 10, 41, 81, 74, 25, 1, 11, 51, 111, 108, 38, 1, 12, 62, 162, 219, 146, 38, 1, 13, 74, 221, 351, 276, 84, 1, 14, 87, 293, 526, 457, 150]

cp's OEIS Frontend

A307998 Irregular triangle read by rows, n > 0 and k = 0..PrimePi(n): T(n, k) is the number of Q-linearly independent subsets of { log(1), ..., log(n) } with k elements (where PrimePi corresponds to A000720, the prime-counting function).

Table of values

List of values

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	1
7	1
8	3
9	2
10	1
11	4
12	5
13	2
14	1
15	5
16	9
17	5
18	1
19	6
20	14
21	14
22	5
23	1
24	7
25	18
26	19
27	7
28	1
29	8
30	24
31	28
32	11
33	1
34	9
35	32
36	49
37	25
38	1
39	10
40	41
41	81
42	74
43	25
44	1
45	11
46	51
47	111
48	108
49	38
50	1
51	12
52	62
53	162
54	219
55	146
56	38
57	1
58	13
59	74
60	221
61	351
62	276
63	84
64	1
65	14
66	87
67	293
68	526
69	457
70	150

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	1
7	1
8	3
9	2
10	1
11	4
12	5
13	2
14	1
15	5
16	9
17	5
18	1
19	6
20	14
21	14
22	5
23	1
24	7
25	18
26	19
27	7
28	1
29	8
30	24
31	28
32	11
33	1
34	9
35	32
36	49
37	25
38	1
39	10
40	41
41	81
42	74
43	25
44	1
45	11
46	51
47	111
48	108
49	38
50	1
51	12
52	62
53	162
54	219
55	146
56	38
57	1
58	13
59	74
60	221
61	351
62	276
63	84
64	1
65	14
66	87
67	293
68	526
69	457
70	150

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	1
7	1
8	3
9	2
10	1
11	4
12	5
13	2
14	1
15	5
16	9
17	5
18	1
19	6
20	14
21	14
22	5
23	1
24	7
25	18
26	19
27	7
28	1
29	8
30	24
31	28
32	11
33	1
34	9
35	32
36	49
37	25
38	1
39	10
40	41
41	81
42	74
43	25
44	1
45	11
46	51
47	111
48	108
49	38
50	1
51	12
52	62
53	162
54	219
55	146
56	38
57	1
58	13
59	74
60	221
61	351
62	276
63	84
64	1
65	14
66	87
67	293
68	526
69	457
70	150