A269456 - cp's OEIS frontend

A269456 Triangular array T(n,k) read by rows: T(n,k) is the number of degree n monic polynomials in GF(2)[x] with exactly k factors in its unique factorization into irreducible polynomials.

n	a(n)
1	2
2	1
3	3
4	2
5	2
6	4
7	3
8	5
9	3
10	5
11	6
12	8
13	8
14	4
15	6
16	9
17	18
18	14
19	11
20	5
21	7
22	18
23	30
24	32
25	20
26	14
27	6
28	8
29	30
30	63
31	57
32	47
33	26
34	17
35	7
36	9
37	56
38	114
39	124
40	86
41	62
42	32
43	20
44	8
45	10
46	99
47	226
48	234
49	191
50	116
51	77
52	38
53	23
54	9
55	11
56	186
57	422
58	480
59	370
60	260
61	146
62	92
63	44
64	26
65	10
66	12
67	335
68	826
69	932
70	775
71	512
72	330
73	176
74	107
75	50
76	29
77	11
78	13

[2, 1, 3, 2, 2, 4, 3, 5, 3, 5, 6, 8, 8, 4, 6, 9, 18, 14, 11, 5, 7, 18, 30, 32, 20, 14, 6, 8, 30, 63, 57, 47, 26, 17, 7, 9, 56, 114, 124, 86, 62, 32, 20, 8, 10, 99, 226, 234, 191, 116, 77, 38, 23, 9, 11, 186, 422, 480, 370, 260, 146, 92, 44, 26, 10, 12, 335, 826, 932, 775, 512, 330, 176, 107, 50, 29, 11, 13]

cp's OEIS Frontend

A269456 Triangular array T(n,k) read by rows: T(n,k) is the number of degree n monic polynomials in GF(2)[x] with exactly k factors in its unique factorization into irreducible polynomials.

Table of values

List of values

n	a(n)
1	2
2	1
3	3
4	2
5	2
6	4
7	3
8	5
9	3
10	5
11	6
12	8
13	8
14	4
15	6
16	9
17	18
18	14
19	11
20	5
21	7
22	18
23	30
24	32
25	20
26	14
27	6
28	8
29	30
30	63
31	57
32	47
33	26
34	17
35	7
36	9
37	56
38	114
39	124
40	86
41	62
42	32
43	20
44	8
45	10
46	99
47	226
48	234
49	191
50	116
51	77
52	38
53	23
54	9
55	11
56	186
57	422
58	480
59	370
60	260
61	146
62	92
63	44
64	26
65	10
66	12
67	335
68	826
69	932
70	775
71	512
72	330
73	176
74	107
75	50
76	29
77	11
78	13

n	a(n)
1	2
2	1
3	3
4	2
5	2
6	4
7	3
8	5
9	3
10	5
11	6
12	8
13	8
14	4
15	6
16	9
17	18
18	14
19	11
20	5
21	7
22	18
23	30
24	32
25	20
26	14
27	6
28	8
29	30
30	63
31	57
32	47
33	26
34	17
35	7
36	9
37	56
38	114
39	124
40	86
41	62
42	32
43	20
44	8
45	10
46	99
47	226
48	234
49	191
50	116
51	77
52	38
53	23
54	9
55	11
56	186
57	422
58	480
59	370
60	260
61	146
62	92
63	44
64	26
65	10
66	12
67	335
68	826
69	932
70	775
71	512
72	330
73	176
74	107
75	50
76	29
77	11
78	13

n	a(n)
1	2
2	1
3	3
4	2
5	2
6	4
7	3
8	5
9	3
10	5
11	6
12	8
13	8
14	4
15	6
16	9
17	18
18	14
19	11
20	5
21	7
22	18
23	30
24	32
25	20
26	14
27	6
28	8
29	30
30	63
31	57
32	47
33	26
34	17
35	7
36	9
37	56
38	114
39	124
40	86
41	62
42	32
43	20
44	8
45	10
46	99
47	226
48	234
49	191
50	116
51	77
52	38
53	23
54	9
55	11
56	186
57	422
58	480
59	370
60	260
61	146
62	92
63	44
64	26
65	10
66	12
67	335
68	826
69	932
70	775
71	512
72	330
73	176
74	107
75	50
76	29
77	11
78	13