A333180 - cp's OEIS frontend

A333180 G.f.: Sum_{k>=1} (k * x^(k^2) * Product_{j=1..k} (1 + x^j)).

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

[0, 1, 1, 0, 2, 2, 2, 2, 0, 3, 3, 3, 6, 3, 3, 3, 4, 4, 4, 8, 8, 8, 8, 8, 4, 9, 9, 5, 10, 10, 15, 15, 15, 15, 15, 15, 16, 16, 11, 17, 17, 18, 24, 24, 24, 30, 30, 30, 30, 31, 31, 31, 32, 26, 33, 34, 41, 41, 42, 49, 49, 56, 56, 56, 64, 64, 57, 65, 58, 59, 67, 68]

cp's OEIS Frontend

A333180 G.f.: Sum_{k>=1} (k * x^(k^2) * Product_{j=1..k} (1 + x^j)).

Table of values

List of values

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

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

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