A038554 - cp's OEIS frontend

A038554 Derivative of n: write n in binary, replace each pair of adjacent bits with their mod 2 sum (a(0)=a(1)=0 by convention). Also n XOR (n shift 1).

n	a(n)
0	0
1	0
2	1
3	0
4	2
5	3
6	1
7	0
8	4
9	5
10	7
11	6
12	2
13	3
14	1
15	0
16	8
17	9
18	11
19	10
20	14
21	15
22	13
23	12
24	4
25	5
26	7
27	6
28	2
29	3
30	1
31	0
32	16
33	17
34	19
35	18
36	22
37	23
38	21
39	20
40	28
41	29
42	31
43	30
44	26
45	27
46	25
47	24
48	8
49	9
50	11
51	10
52	14
53	15
54	13
55	12
56	4
57	5
58	7
59	6
60	2
61	3
62	1
63	0
64	32
65	33
66	35
67	34
68	38
69	39
70	37
71	36
72	44
73	45
74	47
75	46
76	42
77	43
78	41
79	40
80	56
81	57

[0, 0, 1, 0, 2, 3, 1, 0, 4, 5, 7, 6, 2, 3, 1, 0, 8, 9, 11, 10, 14, 15, 13, 12, 4, 5, 7, 6, 2, 3, 1, 0, 16, 17, 19, 18, 22, 23, 21, 20, 28, 29, 31, 30, 26, 27, 25, 24, 8, 9, 11, 10, 14, 15, 13, 12, 4, 5, 7, 6, 2, 3, 1, 0, 32, 33, 35, 34, 38, 39, 37, 36, 44, 45, 47, 46, 42, 43, 41, 40, 56, 57]

cp's OEIS Frontend

A038554 Derivative of n: write n in binary, replace each pair of adjacent bits with their mod 2 sum (a(0)=a(1)=0 by convention). Also n XOR (n shift 1).

Table of values

List of values

n	a(n)
0	0
1	0
2	1
3	0
4	2
5	3
6	1
7	0
8	4
9	5
10	7
11	6
12	2
13	3
14	1
15	0
16	8
17	9
18	11
19	10
20	14
21	15
22	13
23	12
24	4
25	5
26	7
27	6
28	2
29	3
30	1
31	0
32	16
33	17
34	19
35	18
36	22
37	23
38	21
39	20
40	28
41	29
42	31
43	30
44	26
45	27
46	25
47	24
48	8
49	9
50	11
51	10
52	14
53	15
54	13
55	12
56	4
57	5
58	7
59	6
60	2
61	3
62	1
63	0
64	32
65	33
66	35
67	34
68	38
69	39
70	37
71	36
72	44
73	45
74	47
75	46
76	42
77	43
78	41
79	40
80	56
81	57

n	a(n)
0	0
1	0
2	1
3	0
4	2
5	3
6	1
7	0
8	4
9	5
10	7
11	6
12	2
13	3
14	1
15	0
16	8
17	9
18	11
19	10
20	14
21	15
22	13
23	12
24	4
25	5
26	7
27	6
28	2
29	3
30	1
31	0
32	16
33	17
34	19
35	18
36	22
37	23
38	21
39	20
40	28
41	29
42	31
43	30
44	26
45	27
46	25
47	24
48	8
49	9
50	11
51	10
52	14
53	15
54	13
55	12
56	4
57	5
58	7
59	6
60	2
61	3
62	1
63	0
64	32
65	33
66	35
67	34
68	38
69	39
70	37
71	36
72	44
73	45
74	47
75	46
76	42
77	43
78	41
79	40
80	56
81	57

n	a(n)
0	0
1	0
2	1
3	0
4	2
5	3
6	1
7	0
8	4
9	5
10	7
11	6
12	2
13	3
14	1
15	0
16	8
17	9
18	11
19	10
20	14
21	15
22	13
23	12
24	4
25	5
26	7
27	6
28	2
29	3
30	1
31	0
32	16
33	17
34	19
35	18
36	22
37	23
38	21
39	20
40	28
41	29
42	31
43	30
44	26
45	27
46	25
47	24
48	8
49	9
50	11
51	10
52	14
53	15
54	13
55	12
56	4
57	5
58	7
59	6
60	2
61	3
62	1
63	0
64	32
65	33
66	35
67	34
68	38
69	39
70	37
71	36
72	44
73	45
74	47
75	46
76	42
77	43
78	41
79	40
80	56
81	57