A248601 - cp's OEIS frontend

A248601 Square array T(n, k) read by antidiagonals, n > 0 and k > 0: for any number n > 0, let f(n) be the function that associates k to the prime(k)-adic valuation of n (where prime(k) denotes the k-th prime); f establishes a bijection between the positive numbers and the arithmetic functions with nonnegative integer values and a finite number of nonzero values; let g be the inverse of f; T(n, k) = g(f(n) * f(k)) (where i * j denotes the Dirichlet convolution of i and j).

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	1
7	1
8	3
9	3
10	1
11	1
12	4
13	7
14	4
15	1
16	1
17	5
18	9
19	9
20	5
21	1
22	1
23	6
24	13
25	16
26	13
27	6
28	1
29	1
30	7
31	21
32	25
33	25
34	21
35	7
36	1
37	1
38	8
39	19
40	36
41	23
42	36
43	19
44	8
45	1
46	1
47	9
48	27
49	49
50	65
51	65
52	49
53	27
54	9
55	1
56	1
57	10
58	49
59	64
60	37
61	126
62	37
63	64
64	49
65	10
66	1
67	1
68	11
69	39
70	81
71	125
72	133
73	133
74	125

[1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 4, 7, 4, 1, 1, 5, 9, 9, 5, 1, 1, 6, 13, 16, 13, 6, 1, 1, 7, 21, 25, 25, 21, 7, 1, 1, 8, 19, 36, 23, 36, 19, 8, 1, 1, 9, 27, 49, 65, 65, 49, 27, 9, 1, 1, 10, 49, 64, 37, 126, 37, 64, 49, 10, 1, 1, 11, 39, 81, 125, 133, 133, 125]

cp's OEIS Frontend

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	3
10	1
11	1
12	4
13	7
14	4
15	1
16	1
17	5
18	9
19	9
20	5
21	1
22	1
23	6
24	13
25	16
26	13
27	6
28	1
29	1
30	7
31	21
32	25
33	25
34	21
35	7
36	1
37	1
38	8
39	19
40	36
41	23
42	36
43	19
44	8
45	1
46	1
47	9
48	27
49	49
50	65
51	65
52	49
53	27
54	9
55	1
56	1
57	10
58	49
59	64
60	37
61	126
62	37
63	64
64	49
65	10
66	1
67	1
68	11
69	39
70	81
71	125
72	133
73	133
74	125

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	1
7	1
8	3
9	3
10	1
11	1
12	4
13	7
14	4
15	1
16	1
17	5
18	9
19	9
20	5
21	1
22	1
23	6
24	13
25	16
26	13
27	6
28	1
29	1
30	7
31	21
32	25
33	25
34	21
35	7
36	1
37	1
38	8
39	19
40	36
41	23
42	36
43	19
44	8
45	1
46	1
47	9
48	27
49	49
50	65
51	65
52	49
53	27
54	9
55	1
56	1
57	10
58	49
59	64
60	37
61	126
62	37
63	64
64	49
65	10
66	1
67	1
68	11
69	39
70	81
71	125
72	133
73	133
74	125

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	1
7	1
8	3
9	3
10	1
11	1
12	4
13	7
14	4
15	1
16	1
17	5
18	9
19	9
20	5
21	1
22	1
23	6
24	13
25	16
26	13
27	6
28	1
29	1
30	7
31	21
32	25
33	25
34	21
35	7
36	1
37	1
38	8
39	19
40	36
41	23
42	36
43	19
44	8
45	1
46	1
47	9
48	27
49	49
50	65
51	65
52	49
53	27
54	9
55	1
56	1
57	10
58	49
59	64
60	37
61	126
62	37
63	64
64	49
65	10
66	1
67	1
68	11
69	39
70	81
71	125
72	133
73	133
74	125