A334990 - cp's OEIS frontend

A334990 a(1) = 1 and for any n > 1 with prime factorization Product_{k = 1..m} prime(k)^e_k (where prime(k) denotes the k-th prime number and e_m > 0), a(n) = Product_{k = 1..m-1} prime(k)^(e_k XOR e_{k+1}) (where XOR denotes the bitwise XOR operator).

n	a(n)
1	1
2	1
3	2
4	1
5	3
6	1
7	5
8	1
9	4
10	6
11	7
12	8
13	11
14	10
15	2
16	1
17	13
18	8
19	17
20	12
21	30
22	14
23	19
24	4
25	9
26	22
27	8
28	20
29	23
30	1
31	29
32	1
33	42
34	26
35	3
36	1
37	31
38	34
39	66
40	24
41	37
42	15
43	41
44	28
45	108
46	38
47	43
48	32
49	25
50	18
51	78
52	44
53	47
54	4
55	105
56	40
57	102
58	46
59	53
60	8
61	59
62	58
63	180
64	1
65	165
66	21
67	61
68	52
69	114
70	6

[1, 1, 2, 1, 3, 1, 5, 1, 4, 6, 7, 8, 11, 10, 2, 1, 13, 8, 17, 12, 30, 14, 19, 4, 9, 22, 8, 20, 23, 1, 29, 1, 42, 26, 3, 1, 31, 34, 66, 24, 37, 15, 41, 28, 108, 38, 43, 32, 25, 18, 78, 44, 47, 4, 105, 40, 102, 46, 53, 8, 59, 58, 180, 1, 165, 21, 61, 52, 114, 6]

cp's OEIS Frontend

A334990 a(1) = 1 and for any n > 1 with prime factorization Product_{k = 1..m} prime(k)^e_k (where prime(k) denotes the k-th prime number and e_m > 0), a(n) = Product_{k = 1..m-1} prime(k)^(e_k XOR e_{k+1}) (where XOR denotes the bitwise XOR operator).

Table of values

List of values

n	a(n)
1	1
2	1
3	2
4	1
5	3
6	1
7	5
8	1
9	4
10	6
11	7
12	8
13	11
14	10
15	2
16	1
17	13
18	8
19	17
20	12
21	30
22	14
23	19
24	4
25	9
26	22
27	8
28	20
29	23
30	1
31	29
32	1
33	42
34	26
35	3
36	1
37	31
38	34
39	66
40	24
41	37
42	15
43	41
44	28
45	108
46	38
47	43
48	32
49	25
50	18
51	78
52	44
53	47
54	4
55	105
56	40
57	102
58	46
59	53
60	8
61	59
62	58
63	180
64	1
65	165
66	21
67	61
68	52
69	114
70	6

n	a(n)
1	1
2	1
3	2
4	1
5	3
6	1
7	5
8	1
9	4
10	6
11	7
12	8
13	11
14	10
15	2
16	1
17	13
18	8
19	17
20	12
21	30
22	14
23	19
24	4
25	9
26	22
27	8
28	20
29	23
30	1
31	29
32	1
33	42
34	26
35	3
36	1
37	31
38	34
39	66
40	24
41	37
42	15
43	41
44	28
45	108
46	38
47	43
48	32
49	25
50	18
51	78
52	44
53	47
54	4
55	105
56	40
57	102
58	46
59	53
60	8
61	59
62	58
63	180
64	1
65	165
66	21
67	61
68	52
69	114
70	6

n	a(n)
1	1
2	1
3	2
4	1
5	3
6	1
7	5
8	1
9	4
10	6
11	7
12	8
13	11
14	10
15	2
16	1
17	13
18	8
19	17
20	12
21	30
22	14
23	19
24	4
25	9
26	22
27	8
28	20
29	23
30	1
31	29
32	1
33	42
34	26
35	3
36	1
37	31
38	34
39	66
40	24
41	37
42	15
43	41
44	28
45	108
46	38
47	43
48	32
49	25
50	18
51	78
52	44
53	47
54	4
55	105
56	40
57	102
58	46
59	53
60	8
61	59
62	58
63	180
64	1
65	165
66	21
67	61
68	52
69	114
70	6