A265509 - cp's OEIS frontend

A265509 a(n) = largest base-2 palindrome m <= 2n+1 such that every base-2 digit of m is <= the corresponding digit of 2n+1; m is written in base 10.

n	a(n)
0	1
1	3
2	5
3	7
4	9
5	9
6	9
7	15
8	17
9	17
10	21
11	21
12	17
13	27
14	21
15	31
16	33
17	33
18	33
19	33
20	33
21	33
22	45
23	45
24	33
25	51
26	33
27	51
28	33
29	51
30	45
31	63
32	65
33	65
34	65
35	65
36	73
37	73
38	73
39	73
40	65
41	65
42	85
43	85
44	73
45	73
46	93
47	93
48	65
49	99
50	65
51	99
52	73
53	107
54	73
55	107
56	65
57	99
58	85
59	119
60	73
61	107
62	93
63	127
64	129
65	129
66	129
67	129
68	129
69	129
70	129
71	129
72	129
73	129
74	129
75	129
76	153

[1, 3, 5, 7, 9, 9, 9, 15, 17, 17, 21, 21, 17, 27, 21, 31, 33, 33, 33, 33, 33, 33, 45, 45, 33, 51, 33, 51, 33, 51, 45, 63, 65, 65, 65, 65, 73, 73, 73, 73, 65, 65, 85, 85, 73, 73, 93, 93, 65, 99, 65, 99, 73, 107, 73, 107, 65, 99, 85, 119, 73, 107, 93, 127, 129, 129, 129, 129, 129, 129, 129, 129, 129, 129, 129, 129, 153]

cp's OEIS Frontend

A265509 a(n) = largest base-2 palindrome m <= 2n+1 such that every base-2 digit of m is <= the corresponding digit of 2n+1; m is written in base 10.

Table of values

List of values

n	a(n)
0	1
1	3
2	5
3	7
4	9
5	9
6	9
7	15
8	17
9	17
10	21
11	21
12	17
13	27
14	21
15	31
16	33
17	33
18	33
19	33
20	33
21	33
22	45
23	45
24	33
25	51
26	33
27	51
28	33
29	51
30	45
31	63
32	65
33	65
34	65
35	65
36	73
37	73
38	73
39	73
40	65
41	65
42	85
43	85
44	73
45	73
46	93
47	93
48	65
49	99
50	65
51	99
52	73
53	107
54	73
55	107
56	65
57	99
58	85
59	119
60	73
61	107
62	93
63	127
64	129
65	129
66	129
67	129
68	129
69	129
70	129
71	129
72	129
73	129
74	129
75	129
76	153

n	a(n)
0	1
1	3
2	5
3	7
4	9
5	9
6	9
7	15
8	17
9	17
10	21
11	21
12	17
13	27
14	21
15	31
16	33
17	33
18	33
19	33
20	33
21	33
22	45
23	45
24	33
25	51
26	33
27	51
28	33
29	51
30	45
31	63
32	65
33	65
34	65
35	65
36	73
37	73
38	73
39	73
40	65
41	65
42	85
43	85
44	73
45	73
46	93
47	93
48	65
49	99
50	65
51	99
52	73
53	107
54	73
55	107
56	65
57	99
58	85
59	119
60	73
61	107
62	93
63	127
64	129
65	129
66	129
67	129
68	129
69	129
70	129
71	129
72	129
73	129
74	129
75	129
76	153

n	a(n)
0	1
1	3
2	5
3	7
4	9
5	9
6	9
7	15
8	17
9	17
10	21
11	21
12	17
13	27
14	21
15	31
16	33
17	33
18	33
19	33
20	33
21	33
22	45
23	45
24	33
25	51
26	33
27	51
28	33
29	51
30	45
31	63
32	65
33	65
34	65
35	65
36	73
37	73
38	73
39	73
40	65
41	65
42	85
43	85
44	73
45	73
46	93
47	93
48	65
49	99
50	65
51	99
52	73
53	107
54	73
55	107
56	65
57	99
58	85
59	119
60	73
61	107
62	93
63	127
64	129
65	129
66	129
67	129
68	129
69	129
70	129
71	129
72	129
73	129
74	129
75	129
76	153