A355810 - cp's OEIS frontend

A355810 a(n) is the number at the apex of a triangle whose base contains the distinct powers of 2 summing to n (in ascending order), and each number in a higher row is the bitwise XOR of the two numbers directly below it; a(0) = 0.

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

[0, 1, 2, 3, 4, 5, 6, 5, 8, 9, 10, 9, 12, 9, 10, 15, 16, 17, 18, 17, 20, 17, 18, 23, 24, 17, 18, 27, 20, 29, 30, 17, 32, 33, 34, 33, 36, 33, 34, 39, 40, 33, 34, 43, 36, 45, 46, 33, 48, 33, 34, 51, 36, 53, 54, 33, 40, 57, 58, 33, 60, 33, 34, 51, 64, 65, 66, 65]

cp's OEIS Frontend

A355810 a(n) is the number at the apex of a triangle whose base contains the distinct powers of 2 summing to n (in ascending order), and each number in a higher row is the bitwise XOR of the two numbers directly below it; a(0) = 0.

Table of values

List of values

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

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

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