A342698 - cp's OEIS frontend

A342698 For any number n with binary expansion (b(1), b(2), ..., b(k)), the binary expansion of a(n) is (floor((b(k)+b(1)+b(2))/2), floor((b(1)+b(2)+b(3))/2), ..., floor((b(k-1)+b(k)+b(1))/2)).

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

[0, 1, 1, 3, 0, 7, 7, 7, 0, 9, 5, 15, 12, 15, 15, 15, 0, 17, 1, 19, 8, 27, 15, 31, 24, 25, 29, 31, 28, 31, 31, 31, 0, 33, 1, 35, 0, 35, 7, 39, 16, 49, 21, 55, 28, 63, 31, 63, 48, 49, 49, 51, 56, 59, 63, 63, 56, 57, 61, 63, 60, 63, 63, 63, 0, 65, 1, 67, 0, 67, 7]

cp's OEIS Frontend

A342698 For any number n with binary expansion (b(1), b(2), ..., b(k)), the binary expansion of a(n) is (floor((b(k)+b(1)+b(2))/2), floor((b(1)+b(2)+b(3))/2), ..., floor((b(k-1)+b(k)+b(1))/2)).

Table of values

List of values

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

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

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