A378212 - cp's OEIS frontend

A378212 a(n) is the greatest nonnegative integer k such that there exists a strictly increasing integer sequence k = b_1 < b_2 < ... < b_t = n with the property that b_1 XOR b_2 XOR ... XOR b_t = 0, or 0 if there are no such k (when n is a power of 2).

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

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

cp's OEIS Frontend

A378212 a(n) is the greatest nonnegative integer k such that there exists a strictly increasing integer sequence k = b_1 < b_2 < ... < b_t = n with the property that b_1 XOR b_2 XOR ... XOR b_t = 0, or 0 if there are no such k (when n is a power of 2).

Table of values

List of values

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

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

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