A225607 - cp's OEIS frontend

A225607 If the run lengths of the binary representation of n are [1+r_1, 1+r_2, 1+r_3, ..., 1+r_k], then those of a(n) are [1+(r_1), 1+(r_1 XOR r_2), 1+(r_2 XOR r_3), ..., 1+(r_{k-1} XOR r_k)], where XOR denotes the XOR binary operator.

n	a(n)
1	1
2	2
3	3
4	4
5	5
6	12
7	7
8	8
9	19
10	10
11	11
12	6
13	25
14	56
15	15
16	16
17	71
18	38
19	9
20	20
21	21
22	44
23	23
24	48
25	27
26	50
27	51
28	112
29	113
30	240
31	31
32	32
33	271
34	142
35	143
36	76
37	77
38	36
39	79
40	40
41	83
42	42
43	43
44	22
45	89
46	184
47	47
48	24
49	391
50	54
51	13
52	100
53	101
54	204
55	103
56	14
57	451
58	226
59	227
60	120
61	481
62	992
63	63

[1, 2, 3, 4, 5, 12, 7, 8, 19, 10, 11, 6, 25, 56, 15, 16, 71, 38, 9, 20, 21, 44, 23, 48, 27, 50, 51, 112, 113, 240, 31, 32, 271, 142, 143, 76, 77, 36, 79, 40, 83, 42, 43, 22, 89, 184, 47, 24, 391, 54, 13, 100, 101, 204, 103, 14, 451, 226, 227, 120, 481, 992, 63]

cp's OEIS Frontend

A225607 If the run lengths of the binary representation of n are [1+r_1, 1+r_2, 1+r_3, ..., 1+r_k], then those of a(n) are [1+(r_1), 1+(r_1 XOR r_2), 1+(r_2 XOR r_3), ..., 1+(r_{k-1} XOR r_k)], where XOR denotes the XOR binary operator.

Table of values

List of values

n	a(n)
1	1
2	2
3	3
4	4
5	5
6	12
7	7
8	8
9	19
10	10
11	11
12	6
13	25
14	56
15	15
16	16
17	71
18	38
19	9
20	20
21	21
22	44
23	23
24	48
25	27
26	50
27	51
28	112
29	113
30	240
31	31
32	32
33	271
34	142
35	143
36	76
37	77
38	36
39	79
40	40
41	83
42	42
43	43
44	22
45	89
46	184
47	47
48	24
49	391
50	54
51	13
52	100
53	101
54	204
55	103
56	14
57	451
58	226
59	227
60	120
61	481
62	992
63	63

n	a(n)
1	1
2	2
3	3
4	4
5	5
6	12
7	7
8	8
9	19
10	10
11	11
12	6
13	25
14	56
15	15
16	16
17	71
18	38
19	9
20	20
21	21
22	44
23	23
24	48
25	27
26	50
27	51
28	112
29	113
30	240
31	31
32	32
33	271
34	142
35	143
36	76
37	77
38	36
39	79
40	40
41	83
42	42
43	43
44	22
45	89
46	184
47	47
48	24
49	391
50	54
51	13
52	100
53	101
54	204
55	103
56	14
57	451
58	226
59	227
60	120
61	481
62	992
63	63

n	a(n)
1	1
2	2
3	3
4	4
5	5
6	12
7	7
8	8
9	19
10	10
11	11
12	6
13	25
14	56
15	15
16	16
17	71
18	38
19	9
20	20
21	21
22	44
23	23
24	48
25	27
26	50
27	51
28	112
29	113
30	240
31	31
32	32
33	271
34	142
35	143
36	76
37	77
38	36
39	79
40	40
41	83
42	42
43	43
44	22
45	89
46	184
47	47
48	24
49	391
50	54
51	13
52	100
53	101
54	204
55	103
56	14
57	451
58	226
59	227
60	120
61	481
62	992
63	63