A293900 - cp's OEIS frontend

A293900 Number of permutations of the divisors of n that are greater than 1, in which consecutive elements are not coprime and no divisor d may occur later than any divisor e if e < d and A007947(e) = A007947(d). That is, any subset of divisors sharing the same squarefree part occur always in ascending order inside the permutation.

n	a(n)
1	0
2	1
3	1
4	1
5	1
6	2
7	1
8	1
9	1
10	2
11	1
12	9
13	1
14	2
15	2
16	1
17	1
18	9
19	1
20	9
21	2
22	2
23	1
24	40
25	1
26	2
27	1
28	9
29	1
30	348
31	1
32	1
33	2
34	2
35	2
36	110
37	1
38	2
39	2
40	40
41	1
42	348
43	1
44	9
45	9
46	2
47	1
48	175
49	1
50	9
51	2
52	9
53	1
54	40
55	2
56	40
57	2
58	2
59	1
60	138660
61	1
62	2
63	9
64	1
65	2
66	348
67	1
68	9
69	2
70	348
71	1
72	1127
73	1
74	2
75	9
76	9
77	2
78	348
79	1
80	175
81	1
82	2
83	1
84	138660
85	2
86	2
87	2
88	40
89	1
90	138660
91	2
92	9
93	2
94	2
95	2
96	756
97	1
98	9
99	9
100	110

[0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 9, 1, 2, 2, 1, 1, 9, 1, 9, 2, 2, 1, 40, 1, 2, 1, 9, 1, 348, 1, 1, 2, 2, 2, 110, 1, 2, 2, 40, 1, 348, 1, 9, 9, 2, 1, 175, 1, 9, 2, 9, 1, 40, 2, 40, 2, 2, 1, 138660, 1, 2, 9, 1, 2, 348, 1, 9, 2, 348, 1, 1127, 1, 2, 9, 9, 2, 348, 1, 175, 1, 2, 1, 138660, 2, 2, 2, 40, 1, 138660, 2, 9, 2, 2, 2, 756, 1, 9, 9, 110]

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