A198192 - cp's OEIS frontend

A198192 Replace 2^k in the binary representation of n with n-k (i.e. if n = 2^a + 2^b + 2^c + ... then a(n) = (n-a) + (n-b) + (n-c) + ...).

n	a(n)
0	0
1	1
2	1
3	5
4	2
5	8
6	9
7	18
8	5
9	15
10	16
11	29
12	19
13	34
14	36
15	54
16	12
17	30
18	31
19	52
20	34
21	57
22	59
23	85
24	41
25	68
26	70
27	100
28	75
29	107
30	110
31	145
32	27
33	61
34	62
35	99
36	65
37	104
38	106
39	148
40	72
41	115
42	117
43	163
44	122
45	170
46	173
47	224
48	87
49	138
50	140
51	194
52	145
53	201
54	204
55	263
56	156
57	216
58	219
59	282
60	226

[0, 1, 1, 5, 2, 8, 9, 18, 5, 15, 16, 29, 19, 34, 36, 54, 12, 30, 31, 52, 34, 57, 59, 85, 41, 68, 70, 100, 75, 107, 110, 145, 27, 61, 62, 99, 65, 104, 106, 148, 72, 115, 117, 163, 122, 170, 173, 224, 87, 138, 140, 194, 145, 201, 204, 263, 156, 216, 219, 282, 226]

cp's OEIS Frontend

A198192 Replace 2^k in the binary representation of n with n-k (i.e. if n = 2^a + 2^b + 2^c + ... then a(n) = (n-a) + (n-b) + (n-c) + ...).

Table of values

List of values

n	a(n)
0	0
1	1
2	1
3	5
4	2
5	8
6	9
7	18
8	5
9	15
10	16
11	29
12	19
13	34
14	36
15	54
16	12
17	30
18	31
19	52
20	34
21	57
22	59
23	85
24	41
25	68
26	70
27	100
28	75
29	107
30	110
31	145
32	27
33	61
34	62
35	99
36	65
37	104
38	106
39	148
40	72
41	115
42	117
43	163
44	122
45	170
46	173
47	224
48	87
49	138
50	140
51	194
52	145
53	201
54	204
55	263
56	156
57	216
58	219
59	282
60	226

n	a(n)
0	0
1	1
2	1
3	5
4	2
5	8
6	9
7	18
8	5
9	15
10	16
11	29
12	19
13	34
14	36
15	54
16	12
17	30
18	31
19	52
20	34
21	57
22	59
23	85
24	41
25	68
26	70
27	100
28	75
29	107
30	110
31	145
32	27
33	61
34	62
35	99
36	65
37	104
38	106
39	148
40	72
41	115
42	117
43	163
44	122
45	170
46	173
47	224
48	87
49	138
50	140
51	194
52	145
53	201
54	204
55	263
56	156
57	216
58	219
59	282
60	226

n	a(n)
0	0
1	1
2	1
3	5
4	2
5	8
6	9
7	18
8	5
9	15
10	16
11	29
12	19
13	34
14	36
15	54
16	12
17	30
18	31
19	52
20	34
21	57
22	59
23	85
24	41
25	68
26	70
27	100
28	75
29	107
30	110
31	145
32	27
33	61
34	62
35	99
36	65
37	104
38	106
39	148
40	72
41	115
42	117
43	163
44	122
45	170
46	173
47	224
48	87
49	138
50	140
51	194
52	145
53	201
54	204
55	263
56	156
57	216
58	219
59	282
60	226