A336033 - cp's OEIS frontend

A336033 a(n) is the number of k such that 1 <= k < n and a(k) XOR ... XOR a(n-1) = 0 (where XOR denotes the bitwise XOR operator).

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

[0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 3, 2, 2, 3, 4, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 3, 2, 2, 3, 4, 5, 3, 3, 4, 3, 3, 4, 5, 6, 4, 4, 5, 4, 4, 5, 6, 7, 5, 5, 6, 5, 5, 6, 7, 8, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 3, 2, 2, 3, 4, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 3, 2, 2, 3, 4, 5, 3]

cp's OEIS Frontend

A336033 a(n) is the number of k such that 1 <= k < n and a(k) XOR ... XOR a(n-1) = 0 (where XOR denotes the bitwise XOR operator).

Table of values

List of values

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

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

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