A280493 - cp's OEIS frontend

A280493 Sum of GF(2)[X] divisors of n: the sum is ordinary sum of integers, the summands being all the natural numbers whose binary expansions encode such (0,1)-polynomials that divide the (0,1)-polynomial encoded by n when the polynomial factorization is done over the field GF(2).

n	a(n)
1	1
2	3
3	4
4	7
5	9
6	12
7	8
8	15
9	20
10	27
11	12
12	28
13	14
14	24
15	24
16	31
17	41
18	60
19	20
20	63
21	29
22	36
23	40
24	60
25	26
26	42
27	52
28	56
29	44
30	72
31	32
32	63
33	68
34	123
35	56
36	140
37	38
38	60
39	88
40	135
41	42
42	87
43	72
44	84
45	112
46	120
47	48
48	124
49	68
50	78
51	92
52	98
53	76
54	156
55	56
56	120
57	102
58	132
59	60
60	168
61	62
62	96
63	104
64	127
65	201
66	204
67	68
68	287
69	81
70	168
71	136
72	300
73	74
74	114
75	192
76	140
77	140
78	264
79	112
80	279
81	95
82	126
83	192
84	203

[1, 3, 4, 7, 9, 12, 8, 15, 20, 27, 12, 28, 14, 24, 24, 31, 41, 60, 20, 63, 29, 36, 40, 60, 26, 42, 52, 56, 44, 72, 32, 63, 68, 123, 56, 140, 38, 60, 88, 135, 42, 87, 72, 84, 112, 120, 48, 124, 68, 78, 92, 98, 76, 156, 56, 120, 102, 132, 60, 168, 62, 96, 104, 127, 201, 204, 68, 287, 81, 168, 136, 300, 74, 114, 192, 140, 140, 264, 112, 279, 95, 126, 192, 203]

cp's OEIS Frontend

A280493 Sum of GF(2)[X] divisors of n: the sum is ordinary sum of integers, the summands being all the natural numbers whose binary expansions encode such (0,1)-polynomials that divide the (0,1)-polynomial encoded by n when the polynomial factorization is done over the field GF(2).

Table of values

List of values

n	a(n)
1	1
2	3
3	4
4	7
5	9
6	12
7	8
8	15
9	20
10	27
11	12
12	28
13	14
14	24
15	24
16	31
17	41
18	60
19	20
20	63
21	29
22	36
23	40
24	60
25	26
26	42
27	52
28	56
29	44
30	72
31	32
32	63
33	68
34	123
35	56
36	140
37	38
38	60
39	88
40	135
41	42
42	87
43	72
44	84
45	112
46	120
47	48
48	124
49	68
50	78
51	92
52	98
53	76
54	156
55	56
56	120
57	102
58	132
59	60
60	168
61	62
62	96
63	104
64	127
65	201
66	204
67	68
68	287
69	81
70	168
71	136
72	300
73	74
74	114
75	192
76	140
77	140
78	264
79	112
80	279
81	95
82	126
83	192
84	203

n	a(n)
1	1
2	3
3	4
4	7
5	9
6	12
7	8
8	15
9	20
10	27
11	12
12	28
13	14
14	24
15	24
16	31
17	41
18	60
19	20
20	63
21	29
22	36
23	40
24	60
25	26
26	42
27	52
28	56
29	44
30	72
31	32
32	63
33	68
34	123
35	56
36	140
37	38
38	60
39	88
40	135
41	42
42	87
43	72
44	84
45	112
46	120
47	48
48	124
49	68
50	78
51	92
52	98
53	76
54	156
55	56
56	120
57	102
58	132
59	60
60	168
61	62
62	96
63	104
64	127
65	201
66	204
67	68
68	287
69	81
70	168
71	136
72	300
73	74
74	114
75	192
76	140
77	140
78	264
79	112
80	279
81	95
82	126
83	192
84	203

n	a(n)
1	1
2	3
3	4
4	7
5	9
6	12
7	8
8	15
9	20
10	27
11	12
12	28
13	14
14	24
15	24
16	31
17	41
18	60
19	20
20	63
21	29
22	36
23	40
24	60
25	26
26	42
27	52
28	56
29	44
30	72
31	32
32	63
33	68
34	123
35	56
36	140
37	38
38	60
39	88
40	135
41	42
42	87
43	72
44	84
45	112
46	120
47	48
48	124
49	68
50	78
51	92
52	98
53	76
54	156
55	56
56	120
57	102
58	132
59	60
60	168
61	62
62	96
63	104
64	127
65	201
66	204
67	68
68	287
69	81
70	168
71	136
72	300
73	74
74	114
75	192
76	140
77	140
78	264
79	112
80	279
81	95
82	126
83	192
84	203