A309287 - cp's OEIS frontend

A309287 Square array T(v, m), read by antidiagonals, for the Rogel-Klee arithmetic function: number of positive integers h in the set [m] for which gcd(h, m) is v-th-power-free, i.e., gcd(h, m) is not divisible by any v-th power of an integer > 1 (with v, m >= 1).

n	a(n)
1	1
2	1
3	1
4	2
5	2
6	1
7	2
8	3
9	2
10	1
11	4
12	3
13	3
14	2
15	1
16	2
17	5
18	4
19	3
20	2
21	1
22	6
23	6
24	5
25	4
26	3
27	2
28	1
29	4
30	7
31	6
32	5
33	4
34	3
35	2
36	1
37	6
38	6
39	7
40	6
41	5
42	4
43	3
44	2
45	1
46	4
47	8
48	7
49	7
50	6
51	5
52	4
53	3
54	2
55	1
56	10
57	10
58	9
59	8
60	7
61	6
62	5
63	4
64	3
65	2
66	1
67	4
68	11
69	10
70	9
71	8
72	7
73	6
74	5
75	4
76	3
77	2
78	1
79	12
80	9
81	11
82	10
83	9
84	8
85	7
86	6
87	5
88	4
89	3
90	2
91	1
92	6
93	13
94	12
95	11
96	10
97	9
98	8
99	7
100	6
101	5
102	4
103	3
104	2
105	1

[1, 1, 1, 2, 2, 1, 2, 3, 2, 1, 4, 3, 3, 2, 1, 2, 5, 4, 3, 2, 1, 6, 6, 5, 4, 3, 2, 1, 4, 7, 6, 5, 4, 3, 2, 1, 6, 6, 7, 6, 5, 4, 3, 2, 1, 4, 8, 7, 7, 6, 5, 4, 3, 2, 1, 10, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 4, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, 9, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 6, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1]

cp's OEIS Frontend

A309287 Square array T(v, m), read by antidiagonals, for the Rogel-Klee arithmetic function: number of positive integers h in the set [m] for which gcd(h, m) is v-th-power-free, i.e., gcd(h, m) is not divisible by any v-th power of an integer > 1 (with v, m >= 1).

Table of values

List of values

n	a(n)
1	1
2	1
3	1
4	2
5	2
6	1
7	2
8	3
9	2
10	1
11	4
12	3
13	3
14	2
15	1
16	2
17	5
18	4
19	3
20	2
21	1
22	6
23	6
24	5
25	4
26	3
27	2
28	1
29	4
30	7
31	6
32	5
33	4
34	3
35	2
36	1
37	6
38	6
39	7
40	6
41	5
42	4
43	3
44	2
45	1
46	4
47	8
48	7
49	7
50	6
51	5
52	4
53	3
54	2
55	1
56	10
57	10
58	9
59	8
60	7
61	6
62	5
63	4
64	3
65	2
66	1
67	4
68	11
69	10
70	9
71	8
72	7
73	6
74	5
75	4
76	3
77	2
78	1
79	12
80	9
81	11
82	10
83	9
84	8
85	7
86	6
87	5
88	4
89	3
90	2
91	1
92	6
93	13
94	12
95	11
96	10
97	9
98	8
99	7
100	6
101	5
102	4
103	3
104	2
105	1

n	a(n)
1	1
2	1
3	1
4	2
5	2
6	1
7	2
8	3
9	2
10	1
11	4
12	3
13	3
14	2
15	1
16	2
17	5
18	4
19	3
20	2
21	1
22	6
23	6
24	5
25	4
26	3
27	2
28	1
29	4
30	7
31	6
32	5
33	4
34	3
35	2
36	1
37	6
38	6
39	7
40	6
41	5
42	4
43	3
44	2
45	1
46	4
47	8
48	7
49	7
50	6
51	5
52	4
53	3
54	2
55	1
56	10
57	10
58	9
59	8
60	7
61	6
62	5
63	4
64	3
65	2
66	1
67	4
68	11
69	10
70	9
71	8
72	7
73	6
74	5
75	4
76	3
77	2
78	1
79	12
80	9
81	11
82	10
83	9
84	8
85	7
86	6
87	5
88	4
89	3
90	2
91	1
92	6
93	13
94	12
95	11
96	10
97	9
98	8
99	7
100	6
101	5
102	4
103	3
104	2
105	1

n	a(n)
1	1
2	1
3	1
4	2
5	2
6	1
7	2
8	3
9	2
10	1
11	4
12	3
13	3
14	2
15	1
16	2
17	5
18	4
19	3
20	2
21	1
22	6
23	6
24	5
25	4
26	3
27	2
28	1
29	4
30	7
31	6
32	5
33	4
34	3
35	2
36	1
37	6
38	6
39	7
40	6
41	5
42	4
43	3
44	2
45	1
46	4
47	8
48	7
49	7
50	6
51	5
52	4
53	3
54	2
55	1
56	10
57	10
58	9
59	8
60	7
61	6
62	5
63	4
64	3
65	2
66	1
67	4
68	11
69	10
70	9
71	8
72	7
73	6
74	5
75	4
76	3
77	2
78	1
79	12
80	9
81	11
82	10
83	9
84	8
85	7
86	6
87	5
88	4
89	3
90	2
91	1
92	6
93	13
94	12
95	11
96	10
97	9
98	8
99	7
100	6
101	5
102	4
103	3
104	2
105	1