A241909 - cp's OEIS frontend

A241909 Self-inverse permutation of natural numbers: a(1)=1, a(p_i) = 2^i, and if n = p_i1 * p_i2 * p_i3 * ... * p_{ik-1} * p_ik, where p's are primes, with their indexes are sorted into nondescending order: i1 <= i2 <= i3 <= ... <= i_{k-1} <= ik, then a(n) = 2^(i1-1) * 3^(i2-i1) * 5^(i3-i2) * ... * p_k^(1+(ik-i_{k-1})). Here k = A001222(n) and ik = A061395(n).

n	a(n)
1	1
2	2
3	4
4	3
5	8
6	9
7	16
8	5
9	6
10	27
11	32
12	25
13	64
14	81
15	18
16	7
17	128
18	15
19	256
20	125
21	54
22	243
23	512
24	49
25	12
26	729
27	10
28	625
29	1024
30	75
31	2048
32	11
33	162
34	2187
35	36
36	35
37	4096
38	6561
39	486
40	343
41	8192
42	375
43	16384
44	3125
45	50
46	19683
47	32768
48	121
49	24
50	45
51	1458
52	15625
53	65536
54	21
55	108
56	2401

[1, 2, 4, 3, 8, 9, 16, 5, 6, 27, 32, 25, 64, 81, 18, 7, 128, 15, 256, 125, 54, 243, 512, 49, 12, 729, 10, 625, 1024, 75, 2048, 11, 162, 2187, 36, 35, 4096, 6561, 486, 343, 8192, 375, 16384, 3125, 50, 19683, 32768, 121, 24, 45, 1458, 15625, 65536, 21, 108, 2401]

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