A337566 - cp's OEIS frontend

A337566 a(n) is the number of possible decompositions of the polynomial n * (x + x^2 + ... + x^q), where q > 1, into a sum of k polynomials, not necessarily all different; each of these polynomials is to be of the form b_1 * x + b_2 * x^2 + ... + b_q * x^q where each b_i is one of the numbers 1, 2, 3, ..., q and no two b_i are equal.

n	a(n)
1	0
2	0
3	1
4	1
5	1
6	3
7	1
8	2
9	3
10	3
11	1
12	5
13	1
14	3
15	5
16	3
17	1
18	6
19	1
20	5
21	5
22	3
23	1
24	7
25	3
26	3
27	5
28	5
29	1
30	9
31	1
32	4
33	5
34	3
35	5
36	9
37	1
38	3
39	5
40	7
41	1
42	9
43	1
44	5
45	9
46	3
47	1
48	9
49	3
50	6
51	5
52	5
53	1
54	9
55	5
56	7
57	5
58	3
59	1
60	13
61	1
62	3
63	9
64	5
65	5
66	9
67	1
68	5
69	5
70	9
71	1
72	12
73	1
74	3
75	9
76	5
77	5
78	9
79	1
80	9
81	7
82	3
83	1
84	13
85	5
86	3
87	5
88	7
89	1
90	15
91	5
92	5

[0, 0, 1, 1, 1, 3, 1, 2, 3, 3, 1, 5, 1, 3, 5, 3, 1, 6, 1, 5, 5, 3, 1, 7, 3, 3, 5, 5, 1, 9, 1, 4, 5, 3, 5, 9, 1, 3, 5, 7, 1, 9, 1, 5, 9, 3, 1, 9, 3, 6, 5, 5, 1, 9, 5, 7, 5, 3, 1, 13, 1, 3, 9, 5, 5, 9, 1, 5, 5, 9, 1, 12, 1, 3, 9, 5, 5, 9, 1, 9, 7, 3, 1, 13, 5, 3, 5, 7, 1, 15, 5, 5]

cp's OEIS Frontend

Table of values

List of values

n	a(n)
1	0
2	0
3	1
4	1
5	1
6	3
7	1
8	2
9	3
10	3
11	1
12	5
13	1
14	3
15	5
16	3
17	1
18	6
19	1
20	5
21	5
22	3
23	1
24	7
25	3
26	3
27	5
28	5
29	1
30	9
31	1
32	4
33	5
34	3
35	5
36	9
37	1
38	3
39	5
40	7
41	1
42	9
43	1
44	5
45	9
46	3
47	1
48	9
49	3
50	6
51	5
52	5
53	1
54	9
55	5
56	7
57	5
58	3
59	1
60	13
61	1
62	3
63	9
64	5
65	5
66	9
67	1
68	5
69	5
70	9
71	1
72	12
73	1
74	3
75	9
76	5
77	5
78	9
79	1
80	9
81	7
82	3
83	1
84	13
85	5
86	3
87	5
88	7
89	1
90	15
91	5
92	5

n	a(n)
1	0
2	0
3	1
4	1
5	1
6	3
7	1
8	2
9	3
10	3
11	1
12	5
13	1
14	3
15	5
16	3
17	1
18	6
19	1
20	5
21	5
22	3
23	1
24	7
25	3
26	3
27	5
28	5
29	1
30	9
31	1
32	4
33	5
34	3
35	5
36	9
37	1
38	3
39	5
40	7
41	1
42	9
43	1
44	5
45	9
46	3
47	1
48	9
49	3
50	6
51	5
52	5
53	1
54	9
55	5
56	7
57	5
58	3
59	1
60	13
61	1
62	3
63	9
64	5
65	5
66	9
67	1
68	5
69	5
70	9
71	1
72	12
73	1
74	3
75	9
76	5
77	5
78	9
79	1
80	9
81	7
82	3
83	1
84	13
85	5
86	3
87	5
88	7
89	1
90	15
91	5
92	5

n	a(n)
1	0
2	0
3	1
4	1
5	1
6	3
7	1
8	2
9	3
10	3
11	1
12	5
13	1
14	3
15	5
16	3
17	1
18	6
19	1
20	5
21	5
22	3
23	1
24	7
25	3
26	3
27	5
28	5
29	1
30	9
31	1
32	4
33	5
34	3
35	5
36	9
37	1
38	3
39	5
40	7
41	1
42	9
43	1
44	5
45	9
46	3
47	1
48	9
49	3
50	6
51	5
52	5
53	1
54	9
55	5
56	7
57	5
58	3
59	1
60	13
61	1
62	3
63	9
64	5
65	5
66	9
67	1
68	5
69	5
70	9
71	1
72	12
73	1
74	3
75	9
76	5
77	5
78	9
79	1
80	9
81	7
82	3
83	1
84	13
85	5
86	3
87	5
88	7
89	1
90	15
91	5
92	5