A272486 - cp's OEIS frontend

A272486 Numbers n > 1 such that the polynomial x^(n-k)*(x+1)^k+1 over GF(2) is reducible for all k from 1 to n-1.

n	a(n)
1	8
2	13
3	16
4	19
5	24
6	26
7	27
8	32
9	37
10	38
11	40
12	42
13	43
14	45
15	48
16	50
17	51
18	53
19	54
20	56
21	59
22	61
23	64
24	66
25	67
26	69
27	70
28	72
29	75
30	77
31	78
32	80
33	82
34	83
35	85
36	88
37	90
38	91
39	96
40	99
41	101
42	104
43	107
44	109
45	110
46	112
47	114
48	115
49	116
50	117
51	120
52	122
53	125
54	126
55	128
56	131
57	133
58	136
59	138
60	139

[8, 13, 16, 19, 24, 26, 27, 32, 37, 38, 40, 42, 43, 45, 48, 50, 51, 53, 54, 56, 59, 61, 64, 66, 67, 69, 70, 72, 75, 77, 78, 80, 82, 83, 85, 88, 90, 91, 96, 99, 101, 104, 107, 109, 110, 112, 114, 115, 116, 117, 120, 122, 125, 126, 128, 131, 133, 136, 138, 139]

cp's OEIS Frontend

A272486 Numbers n > 1 such that the polynomial x^(n-k)*(x+1)^k+1 over GF(2) is reducible for all k from 1 to n-1.

Table of values

List of values

n	a(n)
1	8
2	13
3	16
4	19
5	24
6	26
7	27
8	32
9	37
10	38
11	40
12	42
13	43
14	45
15	48
16	50
17	51
18	53
19	54
20	56
21	59
22	61
23	64
24	66
25	67
26	69
27	70
28	72
29	75
30	77
31	78
32	80
33	82
34	83
35	85
36	88
37	90
38	91
39	96
40	99
41	101
42	104
43	107
44	109
45	110
46	112
47	114
48	115
49	116
50	117
51	120
52	122
53	125
54	126
55	128
56	131
57	133
58	136
59	138
60	139

n	a(n)
1	8
2	13
3	16
4	19
5	24
6	26
7	27
8	32
9	37
10	38
11	40
12	42
13	43
14	45
15	48
16	50
17	51
18	53
19	54
20	56
21	59
22	61
23	64
24	66
25	67
26	69
27	70
28	72
29	75
30	77
31	78
32	80
33	82
34	83
35	85
36	88
37	90
38	91
39	96
40	99
41	101
42	104
43	107
44	109
45	110
46	112
47	114
48	115
49	116
50	117
51	120
52	122
53	125
54	126
55	128
56	131
57	133
58	136
59	138
60	139

n	a(n)
1	8
2	13
3	16
4	19
5	24
6	26
7	27
8	32
9	37
10	38
11	40
12	42
13	43
14	45
15	48
16	50
17	51
18	53
19	54
20	56
21	59
22	61
23	64
24	66
25	67
26	69
27	70
28	72
29	75
30	77
31	78
32	80
33	82
34	83
35	85
36	88
37	90
38	91
39	96
40	99
41	101
42	104
43	107
44	109
45	110
46	112
47	114
48	115
49	116
50	117
51	120
52	122
53	125
54	126
55	128
56	131
57	133
58	136
59	138
60	139