A241916 - cp's OEIS frontend

A241916 a(2^k) = 2^k, and for other numbers, if n = 2^e1 * 3^e2 * 5^e3 * ... p_k^e_k, then a(n) = 2^(e_k - 1) * 3^(e_{k-1}) * ... * p_{k-1}^e2 * p_k^(e1+1). Here p_k is the greatest prime factor of n (A006530), and e_k is its exponent (A071178), and the exponents e1, ..., e_{k-1} >= 0.

n	a(n)
1	1
2	2
3	3
4	4
5	5
6	9
7	7
8	8
9	6
10	25
11	11
12	27
13	13
14	49
15	15
16	16
17	17
18	18
19	19
20	125
21	35
22	121
23	23
24	81
25	10
26	169
27	12
28	343
29	29
30	75
31	31
32	32
33	77
34	289
35	21
36	54
37	37
38	361
39	143
40	625
41	41
42	245
43	43
44	1331
45	45
46	529
47	47
48	243
49	14
50	50
51	221
52	2197
53	53
54	36
55	55
56	2401
57	323
58	841
59	59
60	375
61	61
62	961
63	175
64	64

[1, 2, 3, 4, 5, 9, 7, 8, 6, 25, 11, 27, 13, 49, 15, 16, 17, 18, 19, 125, 35, 121, 23, 81, 10, 169, 12, 343, 29, 75, 31, 32, 77, 289, 21, 54, 37, 361, 143, 625, 41, 245, 43, 1331, 45, 529, 47, 243, 14, 50, 221, 2197, 53, 36, 55, 2401, 323, 841, 59, 375, 61, 961, 175, 64]

cp's OEIS Frontend

A241916 a(2^k) = 2^k, and for other numbers, if n = 2^e1 * 3^e2 * 5^e3 * ... p_k^e_k, then a(n) = 2^(e_k - 1) * 3^(e_{k-1}) * ... * p_{k-1}^e2 * p_k^(e1+1). Here p_k is the greatest prime factor of n (A006530), and e_k is its exponent (A071178), and the exponents e1, ..., e_{k-1} >= 0.

Table of values

List of values