A330925 - cp's OEIS frontend

A330925 For any n >= 0: consider all pairs of numbers (x, y) whose binary representations can be interleaved (or shuffled) to produce the binary representation of n (possibly with leading zeros); a(n) is the greatest possible value of x*y.

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

[0, 0, 0, 1, 0, 2, 2, 3, 0, 4, 4, 6, 4, 6, 6, 9, 0, 8, 8, 12, 8, 12, 12, 15, 8, 12, 12, 18, 12, 18, 18, 21, 0, 16, 16, 24, 16, 24, 24, 28, 16, 24, 24, 30, 24, 30, 30, 35, 16, 24, 24, 36, 24, 36, 36, 42, 24, 36, 36, 42, 36, 42, 42, 49, 0, 32, 32, 48, 32, 48, 48]

cp's OEIS Frontend

A330925 For any n >= 0: consider all pairs of numbers (x, y) whose binary representations can be interleaved (or shuffled) to produce the binary representation of n (possibly with leading zeros); a(n) is the greatest possible value of x*y.

Table of values

List of values

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

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

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