A238097 - cp's OEIS frontend

A238097 Number of monic cubic polynomials with coefficients from {1..n} and maximum coefficient equal to n, for which all three roots are integers.

n	a(n)
1	0
2	0
3	1
4	0
5	1
6	0
7	1
8	1
9	1
10	0
11	2
12	1
13	1
14	1
15	2
16	1
17	2
18	0
19	2
20	2
21	2
22	0
23	3
24	2
25	1
26	2
27	3
28	1
29	3
30	0
31	3
32	3
33	1
34	1
35	4
36	3
37	1
38	1
39	3
40	2
41	3
42	1
43	2
44	3
45	2
46	0
47	4
48	5
49	2
50	2
51	2
52	1
53	3
54	3
55	3
56	3
57	1
58	0
59	5
60	4
61	1
62	2
63	4
64	4
65	3
66	1
67	2
68	2
69	3
70	1
71	5
72	6
73	1
74	2
75	3
76	2
77	3
78	1
79	4
80	6
81	2
82	0
83	5
84	5
85	1
86	1
87	3

[0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 3, 2, 1, 2, 3, 1, 3, 0, 3, 3, 1, 1, 4, 3, 1, 1, 3, 2, 3, 1, 2, 3, 2, 0, 4, 5, 2, 2, 2, 1, 3, 3, 3, 3, 1, 0, 5, 4, 1, 2, 4, 4, 3, 1, 2, 2, 3, 1, 5, 6, 1, 2, 3, 2, 3, 1, 4, 6, 2, 0, 5, 5, 1, 1, 3]

cp's OEIS Frontend

A238097 Number of monic cubic polynomials with coefficients from {1..n} and maximum coefficient equal to n, for which all three roots are integers.

Table of values

List of values

n	a(n)
1	0
2	0
3	1
4	0
5	1
6	0
7	1
8	1
9	1
10	0
11	2
12	1
13	1
14	1
15	2
16	1
17	2
18	0
19	2
20	2
21	2
22	0
23	3
24	2
25	1
26	2
27	3
28	1
29	3
30	0
31	3
32	3
33	1
34	1
35	4
36	3
37	1
38	1
39	3
40	2
41	3
42	1
43	2
44	3
45	2
46	0
47	4
48	5
49	2
50	2
51	2
52	1
53	3
54	3
55	3
56	3
57	1
58	0
59	5
60	4
61	1
62	2
63	4
64	4
65	3
66	1
67	2
68	2
69	3
70	1
71	5
72	6
73	1
74	2
75	3
76	2
77	3
78	1
79	4
80	6
81	2
82	0
83	5
84	5
85	1
86	1
87	3

n	a(n)
1	0
2	0
3	1
4	0
5	1
6	0
7	1
8	1
9	1
10	0
11	2
12	1
13	1
14	1
15	2
16	1
17	2
18	0
19	2
20	2
21	2
22	0
23	3
24	2
25	1
26	2
27	3
28	1
29	3
30	0
31	3
32	3
33	1
34	1
35	4
36	3
37	1
38	1
39	3
40	2
41	3
42	1
43	2
44	3
45	2
46	0
47	4
48	5
49	2
50	2
51	2
52	1
53	3
54	3
55	3
56	3
57	1
58	0
59	5
60	4
61	1
62	2
63	4
64	4
65	3
66	1
67	2
68	2
69	3
70	1
71	5
72	6
73	1
74	2
75	3
76	2
77	3
78	1
79	4
80	6
81	2
82	0
83	5
84	5
85	1
86	1
87	3

n	a(n)
1	0
2	0
3	1
4	0
5	1
6	0
7	1
8	1
9	1
10	0
11	2
12	1
13	1
14	1
15	2
16	1
17	2
18	0
19	2
20	2
21	2
22	0
23	3
24	2
25	1
26	2
27	3
28	1
29	3
30	0
31	3
32	3
33	1
34	1
35	4
36	3
37	1
38	1
39	3
40	2
41	3
42	1
43	2
44	3
45	2
46	0
47	4
48	5
49	2
50	2
51	2
52	1
53	3
54	3
55	3
56	3
57	1
58	0
59	5
60	4
61	1
62	2
63	4
64	4
65	3
66	1
67	2
68	2
69	3
70	1
71	5
72	6
73	1
74	2
75	3
76	2
77	3
78	1
79	4
80	6
81	2
82	0
83	5
84	5
85	1
86	1
87	3