A341335 - cp's OEIS frontend

A341335 For any number n with binary expansion (b_1, ..., b_k), the binary expansion of a(n), say (c_1, ..., c_k) satisfies c_m = Sum_{d | m} b_d mod 2 for m = 1..k.

n	a(n)
0	0
1	1
2	3
3	2
4	7
5	6
6	5
7	4
8	15
9	14
10	13
11	12
12	10
13	11
14	8
15	9
16	31
17	30
18	29
19	28
20	27
21	26
22	25
23	24
24	21
25	20
26	23
27	22
28	17
29	16
30	19
31	18
32	63
33	62
34	61
35	60
36	59
37	58
38	57
39	56
40	54
41	55
42	52
43	53
44	50
45	51
46	48
47	49
48	42
49	43
50	40
51	41
52	46
53	47
54	44
55	45
56	35
57	34
58	33
59	32
60	39
61	38
62	37
63	36
64	127
65	126
66	125

[0, 1, 3, 2, 7, 6, 5, 4, 15, 14, 13, 12, 10, 11, 8, 9, 31, 30, 29, 28, 27, 26, 25, 24, 21, 20, 23, 22, 17, 16, 19, 18, 63, 62, 61, 60, 59, 58, 57, 56, 54, 55, 52, 53, 50, 51, 48, 49, 42, 43, 40, 41, 46, 47, 44, 45, 35, 34, 33, 32, 39, 38, 37, 36, 127, 126, 125]

cp's OEIS Frontend

A341335 For any number n with binary expansion (b_1, ..., b_k), the binary expansion of a(n), say (c_1, ..., c_k) satisfies c_m = Sum_{d | m} b_d mod 2 for m = 1..k.

Table of values

List of values

n	a(n)
0	0
1	1
2	3
3	2
4	7
5	6
6	5
7	4
8	15
9	14
10	13
11	12
12	10
13	11
14	8
15	9
16	31
17	30
18	29
19	28
20	27
21	26
22	25
23	24
24	21
25	20
26	23
27	22
28	17
29	16
30	19
31	18
32	63
33	62
34	61
35	60
36	59
37	58
38	57
39	56
40	54
41	55
42	52
43	53
44	50
45	51
46	48
47	49
48	42
49	43
50	40
51	41
52	46
53	47
54	44
55	45
56	35
57	34
58	33
59	32
60	39
61	38
62	37
63	36
64	127
65	126
66	125

n	a(n)
0	0
1	1
2	3
3	2
4	7
5	6
6	5
7	4
8	15
9	14
10	13
11	12
12	10
13	11
14	8
15	9
16	31
17	30
18	29
19	28
20	27
21	26
22	25
23	24
24	21
25	20
26	23
27	22
28	17
29	16
30	19
31	18
32	63
33	62
34	61
35	60
36	59
37	58
38	57
39	56
40	54
41	55
42	52
43	53
44	50
45	51
46	48
47	49
48	42
49	43
50	40
51	41
52	46
53	47
54	44
55	45
56	35
57	34
58	33
59	32
60	39
61	38
62	37
63	36
64	127
65	126
66	125

n	a(n)
0	0
1	1
2	3
3	2
4	7
5	6
6	5
7	4
8	15
9	14
10	13
11	12
12	10
13	11
14	8
15	9
16	31
17	30
18	29
19	28
20	27
21	26
22	25
23	24
24	21
25	20
26	23
27	22
28	17
29	16
30	19
31	18
32	63
33	62
34	61
35	60
36	59
37	58
38	57
39	56
40	54
41	55
42	52
43	53
44	50
45	51
46	48
47	49
48	42
49	43
50	40
51	41
52	46
53	47
54	44
55	45
56	35
57	34
58	33
59	32
60	39
61	38
62	37
63	36
64	127
65	126
66	125