A349000 - cp's OEIS frontend

A349000 a(n) = A323166(A276086(n)), where A323166(n) = gcd(n, usigma(n)), usigma (A034448) is multiplicative with a(p^e) = (p^e)+1, and A276086 gives the prime product form of primorial base expansion of n.

n	a(n)
0	1
1	1
2	1
3	6
4	1
5	6
6	1
7	2
8	3
9	6
10	15
11	90
12	1
13	2
14	1
15	6
16	5
17	30
18	1
19	2
20	3
21	6
22	45
23	90
24	1
25	2
26	1
27	6
28	5
29	30
30	1
31	2
32	1
33	6
34	1
35	6
36	1
37	2
38	3
39	6
40	15
41	90
42	1
43	2
44	1
45	6
46	5
47	30
48	7
49	14
50	21
51	42
52	315
53	630
54	1
55	2
56	1
57	6
58	5
59	30
60	1
61	2
62	1
63	6
64	1
65	6
66	5
67	10
68	15
69	30
70	15
71	90
72	25
73	50
74	25
75	150
76	25
77	150
78	175
79	350
80	525
81	1050
82	7875
83	15750
84	25
85	50
86	25
87	150
88	125
89	750

[1, 1, 1, 6, 1, 6, 1, 2, 3, 6, 15, 90, 1, 2, 1, 6, 5, 30, 1, 2, 3, 6, 45, 90, 1, 2, 1, 6, 5, 30, 1, 2, 1, 6, 1, 6, 1, 2, 3, 6, 15, 90, 1, 2, 1, 6, 5, 30, 7, 14, 21, 42, 315, 630, 1, 2, 1, 6, 5, 30, 1, 2, 1, 6, 1, 6, 5, 10, 15, 30, 15, 90, 25, 50, 25, 150, 25, 150, 175, 350, 525, 1050, 7875, 15750, 25, 50, 25, 150, 125, 750]

cp's OEIS Frontend

A349000 a(n) = A323166(A276086(n)), where A323166(n) = gcd(n, usigma(n)), usigma (A034448) is multiplicative with a(p^e) = (p^e)+1, and A276086 gives the prime product form of primorial base expansion of n.

Table of values

List of values