A355340 - cp's OEIS frontend

A355340 a(0) = 0; for n >= 1, a(n) = a(n-1) XOR A001511(n), where XOR denotes bitwise exclusive-or (A003987) and A001511 is the binary ruler function.

n	a(n)
0	0
1	1
2	3
3	2
4	1
5	0
6	2
7	3
8	7
9	6
10	4
11	5
12	6
13	7
14	5
15	4
16	1
17	0
18	2
19	3
20	0
21	1
22	3
23	2
24	6
25	7
26	5
27	4
28	7
29	6
30	4
31	5
32	3
33	2
34	0
35	1
36	2
37	3
38	1
39	0
40	4
41	5
42	7
43	6
44	5
45	4
46	6
47	7
48	2
49	3
50	1
51	0
52	3
53	2
54	0
55	1
56	5
57	4
58	6
59	7
60	4
61	5
62	7
63	6
64	1
65	0
66	2
67	3
68	0
69	1
70	3
71	2
72	6
73	7
74	5
75	4
76	7
77	6
78	4
79	5
80	0
81	1
82	3
83	2
84	1
85	0
86	2
87	3
88	7
89	6
90	4
91	5
92	6
93	7
94	5
95	4
96	2
97	3
98	1
99	0
100	3
101	2
102	0
103	1
104	5

[0, 1, 3, 2, 1, 0, 2, 3, 7, 6, 4, 5, 6, 7, 5, 4, 1, 0, 2, 3, 0, 1, 3, 2, 6, 7, 5, 4, 7, 6, 4, 5, 3, 2, 0, 1, 2, 3, 1, 0, 4, 5, 7, 6, 5, 4, 6, 7, 2, 3, 1, 0, 3, 2, 0, 1, 5, 4, 6, 7, 4, 5, 7, 6, 1, 0, 2, 3, 0, 1, 3, 2, 6, 7, 5, 4, 7, 6, 4, 5, 0, 1, 3, 2, 1, 0, 2, 3, 7, 6, 4, 5, 6, 7, 5, 4, 2, 3, 1, 0, 3, 2, 0, 1, 5]

cp's OEIS Frontend

A355340 a(0) = 0; for n >= 1, a(n) = a(n-1) XOR A001511(n), where XOR denotes bitwise exclusive-or (A003987) and A001511 is the binary ruler function.

Table of values

List of values

n	a(n)
0	0
1	1
2	3
3	2
4	1
5	0
6	2
7	3
8	7
9	6
10	4
11	5
12	6
13	7
14	5
15	4
16	1
17	0
18	2
19	3
20	0
21	1
22	3
23	2
24	6
25	7
26	5
27	4
28	7
29	6
30	4
31	5
32	3
33	2
34	0
35	1
36	2
37	3
38	1
39	0
40	4
41	5
42	7
43	6
44	5
45	4
46	6
47	7
48	2
49	3
50	1
51	0
52	3
53	2
54	0
55	1
56	5
57	4
58	6
59	7
60	4
61	5
62	7
63	6
64	1
65	0
66	2
67	3
68	0
69	1
70	3
71	2
72	6
73	7
74	5
75	4
76	7
77	6
78	4
79	5
80	0
81	1
82	3
83	2
84	1
85	0
86	2
87	3
88	7
89	6
90	4
91	5
92	6
93	7
94	5
95	4
96	2
97	3
98	1
99	0
100	3
101	2
102	0
103	1
104	5

n	a(n)
0	0
1	1
2	3
3	2
4	1
5	0
6	2
7	3
8	7
9	6
10	4
11	5
12	6
13	7
14	5
15	4
16	1
17	0
18	2
19	3
20	0
21	1
22	3
23	2
24	6
25	7
26	5
27	4
28	7
29	6
30	4
31	5
32	3
33	2
34	0
35	1
36	2
37	3
38	1
39	0
40	4
41	5
42	7
43	6
44	5
45	4
46	6
47	7
48	2
49	3
50	1
51	0
52	3
53	2
54	0
55	1
56	5
57	4
58	6
59	7
60	4
61	5
62	7
63	6
64	1
65	0
66	2
67	3
68	0
69	1
70	3
71	2
72	6
73	7
74	5
75	4
76	7
77	6
78	4
79	5
80	0
81	1
82	3
83	2
84	1
85	0
86	2
87	3
88	7
89	6
90	4
91	5
92	6
93	7
94	5
95	4
96	2
97	3
98	1
99	0
100	3
101	2
102	0
103	1
104	5

n	a(n)
0	0
1	1
2	3
3	2
4	1
5	0
6	2
7	3
8	7
9	6
10	4
11	5
12	6
13	7
14	5
15	4
16	1
17	0
18	2
19	3
20	0
21	1
22	3
23	2
24	6
25	7
26	5
27	4
28	7
29	6
30	4
31	5
32	3
33	2
34	0
35	1
36	2
37	3
38	1
39	0
40	4
41	5
42	7
43	6
44	5
45	4
46	6
47	7
48	2
49	3
50	1
51	0
52	3
53	2
54	0
55	1
56	5
57	4
58	6
59	7
60	4
61	5
62	7
63	6
64	1
65	0
66	2
67	3
68	0
69	1
70	3
71	2
72	6
73	7
74	5
75	4
76	7
77	6
78	4
79	5
80	0
81	1
82	3
83	2
84	1
85	0
86	2
87	3
88	7
89	6
90	4
91	5
92	6
93	7
94	5
95	4
96	2
97	3
98	1
99	0
100	3
101	2
102	0
103	1
104	5