A356365 - cp's OEIS frontend

A356365 For any nonnegative integer n with binary expansion Sum_{k = 1..w} 2^e_k, let m be the least integer such that the values e_k mod m are all distinct; a(n) = Sum_{k = 1..w} 2^(e_k mod m).

n	a(n)
0	0
1	1
2	1
3	3
4	1
5	5
6	3
7	7
8	1
9	3
10	3
11	11
12	3
13	13
14	7
15	15
16	1
17	3
18	3
19	19
20	6
21	7
22	7
23	23
24	3
25	25
26	11
27	27
28	7
29	29
30	15
31	31
32	1
33	3
34	6
35	7
36	3
37	7
38	7
39	39
40	5
41	11
42	7
43	43
44	14
45	15
46	15
47	47
48	3
49	7
50	19
51	51
52	7
53	53
54	23
55	55
56	7
57	57
58	27
59	59
60	15
61	61
62	31
63	63
64	1
65	5
66	3
67	7
68	5
69	7
70	7
71	71
72	3
73	13
74	14
75	15

[0, 1, 1, 3, 1, 5, 3, 7, 1, 3, 3, 11, 3, 13, 7, 15, 1, 3, 3, 19, 6, 7, 7, 23, 3, 25, 11, 27, 7, 29, 15, 31, 1, 3, 6, 7, 3, 7, 7, 39, 5, 11, 7, 43, 14, 15, 15, 47, 3, 7, 19, 51, 7, 53, 23, 55, 7, 57, 27, 59, 15, 61, 31, 63, 1, 5, 3, 7, 5, 7, 7, 71, 3, 13, 14, 15]

cp's OEIS Frontend

A356365 For any nonnegative integer n with binary expansion Sum_{k = 1..w} 2^e_k, let m be the least integer such that the values e_k mod m are all distinct; a(n) = Sum_{k = 1..w} 2^(e_k mod m).

Table of values

List of values

n	a(n)
0	0
1	1
2	1
3	3
4	1
5	5
6	3
7	7
8	1
9	3
10	3
11	11
12	3
13	13
14	7
15	15
16	1
17	3
18	3
19	19
20	6
21	7
22	7
23	23
24	3
25	25
26	11
27	27
28	7
29	29
30	15
31	31
32	1
33	3
34	6
35	7
36	3
37	7
38	7
39	39
40	5
41	11
42	7
43	43
44	14
45	15
46	15
47	47
48	3
49	7
50	19
51	51
52	7
53	53
54	23
55	55
56	7
57	57
58	27
59	59
60	15
61	61
62	31
63	63
64	1
65	5
66	3
67	7
68	5
69	7
70	7
71	71
72	3
73	13
74	14
75	15

n	a(n)
0	0
1	1
2	1
3	3
4	1
5	5
6	3
7	7
8	1
9	3
10	3
11	11
12	3
13	13
14	7
15	15
16	1
17	3
18	3
19	19
20	6
21	7
22	7
23	23
24	3
25	25
26	11
27	27
28	7
29	29
30	15
31	31
32	1
33	3
34	6
35	7
36	3
37	7
38	7
39	39
40	5
41	11
42	7
43	43
44	14
45	15
46	15
47	47
48	3
49	7
50	19
51	51
52	7
53	53
54	23
55	55
56	7
57	57
58	27
59	59
60	15
61	61
62	31
63	63
64	1
65	5
66	3
67	7
68	5
69	7
70	7
71	71
72	3
73	13
74	14
75	15

n	a(n)
0	0
1	1
2	1
3	3
4	1
5	5
6	3
7	7
8	1
9	3
10	3
11	11
12	3
13	13
14	7
15	15
16	1
17	3
18	3
19	19
20	6
21	7
22	7
23	23
24	3
25	25
26	11
27	27
28	7
29	29
30	15
31	31
32	1
33	3
34	6
35	7
36	3
37	7
38	7
39	39
40	5
41	11
42	7
43	43
44	14
45	15
46	15
47	47
48	3
49	7
50	19
51	51
52	7
53	53
54	23
55	55
56	7
57	57
58	27
59	59
60	15
61	61
62	31
63	63
64	1
65	5
66	3
67	7
68	5
69	7
70	7
71	71
72	3
73	13
74	14
75	15