A327154 - cp's OEIS frontend

A327154 a(n) = Product_{d|n, d>1} A008578(1+A286561(sigma(n),d)), where A286561(n,d) gives the highest exponent of d dividing n.

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	12
7	1
8	1
9	1
10	2
11	1
12	6
13	1
14	5
15	2
16	1
17	1
18	2
19	1
20	2
21	1
22	3
23	1
24	48
25	1
26	2
27	1
28	80
29	1
30	45
31	1
32	1
33	2
34	2
35	1
36	1
37	1
38	3
39	1
40	8
41	1
42	44
43	1
44	6
45	2
46	5
47	1
48	6
49	1
50	1
51	3
52	2
53	1
54	20
55	1
56	20
57	1
58	2
59	1
60	80
61	1
62	11
63	1
64	1
65	1
66	63
67	1
68	2
69	2
70	7
71	1
72	2
73	1
74	2
75	1
76	6
77	1
78	20
79	1
80	2
81	1
82	2
83	1
84	264
85	1
86	3
87	2
88	6
89	1
90	48
91	2
92	10
93	1
94	7
95	2
96	108
97	1
98	1
99	2
100	1
101	1
102	125
103	1
104	2
105	2

[1, 1, 1, 1, 1, 12, 1, 1, 1, 2, 1, 6, 1, 5, 2, 1, 1, 2, 1, 2, 1, 3, 1, 48, 1, 2, 1, 80, 1, 45, 1, 1, 2, 2, 1, 1, 1, 3, 1, 8, 1, 44, 1, 6, 2, 5, 1, 6, 1, 1, 3, 2, 1, 20, 1, 20, 1, 2, 1, 80, 1, 11, 1, 1, 1, 63, 1, 2, 2, 7, 1, 2, 1, 2, 1, 6, 1, 20, 1, 2, 1, 2, 1, 264, 1, 3, 2, 6, 1, 48, 2, 10, 1, 7, 2, 108, 1, 1, 2, 1, 1, 125, 1, 2, 2]

cp's OEIS Frontend

A327154 a(n) = Product_{d|n, d>1} A008578(1+A286561(sigma(n),d)), where A286561(n,d) gives the highest exponent of d dividing n.

Table of values

List of values

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	12
7	1
8	1
9	1
10	2
11	1
12	6
13	1
14	5
15	2
16	1
17	1
18	2
19	1
20	2
21	1
22	3
23	1
24	48
25	1
26	2
27	1
28	80
29	1
30	45
31	1
32	1
33	2
34	2
35	1
36	1
37	1
38	3
39	1
40	8
41	1
42	44
43	1
44	6
45	2
46	5
47	1
48	6
49	1
50	1
51	3
52	2
53	1
54	20
55	1
56	20
57	1
58	2
59	1
60	80
61	1
62	11
63	1
64	1
65	1
66	63
67	1
68	2
69	2
70	7
71	1
72	2
73	1
74	2
75	1
76	6
77	1
78	20
79	1
80	2
81	1
82	2
83	1
84	264
85	1
86	3
87	2
88	6
89	1
90	48
91	2
92	10
93	1
94	7
95	2
96	108
97	1
98	1
99	2
100	1
101	1
102	125
103	1
104	2
105	2

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	12
7	1
8	1
9	1
10	2
11	1
12	6
13	1
14	5
15	2
16	1
17	1
18	2
19	1
20	2
21	1
22	3
23	1
24	48
25	1
26	2
27	1
28	80
29	1
30	45
31	1
32	1
33	2
34	2
35	1
36	1
37	1
38	3
39	1
40	8
41	1
42	44
43	1
44	6
45	2
46	5
47	1
48	6
49	1
50	1
51	3
52	2
53	1
54	20
55	1
56	20
57	1
58	2
59	1
60	80
61	1
62	11
63	1
64	1
65	1
66	63
67	1
68	2
69	2
70	7
71	1
72	2
73	1
74	2
75	1
76	6
77	1
78	20
79	1
80	2
81	1
82	2
83	1
84	264
85	1
86	3
87	2
88	6
89	1
90	48
91	2
92	10
93	1
94	7
95	2
96	108
97	1
98	1
99	2
100	1
101	1
102	125
103	1
104	2
105	2

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	12
7	1
8	1
9	1
10	2
11	1
12	6
13	1
14	5
15	2
16	1
17	1
18	2
19	1
20	2
21	1
22	3
23	1
24	48
25	1
26	2
27	1
28	80
29	1
30	45
31	1
32	1
33	2
34	2
35	1
36	1
37	1
38	3
39	1
40	8
41	1
42	44
43	1
44	6
45	2
46	5
47	1
48	6
49	1
50	1
51	3
52	2
53	1
54	20
55	1
56	20
57	1
58	2
59	1
60	80
61	1
62	11
63	1
64	1
65	1
66	63
67	1
68	2
69	2
70	7
71	1
72	2
73	1
74	2
75	1
76	6
77	1
78	20
79	1
80	2
81	1
82	2
83	1
84	264
85	1
86	3
87	2
88	6
89	1
90	48
91	2
92	10
93	1
94	7
95	2
96	108
97	1
98	1
99	2
100	1
101	1
102	125
103	1
104	2
105	2