A320033 - cp's OEIS frontend

A320033 a(n) is the number of integer partitions of n with largest part <= 5 for which the index of the seaweed algebra formed by the integer partition paired with its weight is 0.

n	a(n)
1	1
2	1
3	1
4	2
5	3
6	3
7	4
8	5
9	6
10	6
11	4
12	6
13	7
14	5
15	5
16	6
17	7
18	4
19	5
20	5
21	7
22	3
23	5
24	3
25	7
26	3
27	5
28	3
29	7
30	3
31	5
32	3
33	7
34	3
35	5
36	3
37	7
38	3
39	5
40	3
41	7
42	3
43	5
44	3
45	7
46	3
47	5
48	3
49	7
50	3
51	5
52	3
53	7
54	3
55	5
56	3
57	7
58	3
59	5
60	3
61	7
62	3
63	5
64	3
65	7
66	3
67	5
68	3
69	7
70	3
71	5
72	3
73	7
74	3
75	5
76	3
77	7
78	3
79	5
80	3
81	7
82	3
83	5
84	3
85	7
86	3
87	5
88	3
89	7
90	3
91	5
92	3
93	7
94	3
95	5
96	3
97	7
98	3
99	5
100	3
101	7
102	3
103	5
104	3
105	7
106	3
107	5
108	3
109	7
110	3
111	5
112	3

[1, 1, 1, 2, 3, 3, 4, 5, 6, 6, 4, 6, 7, 5, 5, 6, 7, 4, 5, 5, 7, 3, 5, 3, 7, 3, 5, 3, 7, 3, 5, 3, 7, 3, 5, 3, 7, 3, 5, 3, 7, 3, 5, 3, 7, 3, 5, 3, 7, 3, 5, 3, 7, 3, 5, 3, 7, 3, 5, 3, 7, 3, 5, 3, 7, 3, 5, 3, 7, 3, 5, 3, 7, 3, 5, 3, 7, 3, 5, 3, 7, 3, 5, 3, 7, 3, 5, 3, 7, 3, 5, 3, 7, 3, 5, 3, 7, 3, 5, 3, 7, 3, 5, 3, 7, 3, 5, 3, 7, 3, 5, 3]

cp's OEIS Frontend

A320033 a(n) is the number of integer partitions of n with largest part <= 5 for which the index of the seaweed algebra formed by the integer partition paired with its weight is 0.

Table of values

List of values

n	a(n)
1	1
2	1
3	1
4	2
5	3
6	3
7	4
8	5
9	6
10	6
11	4
12	6
13	7
14	5
15	5
16	6
17	7
18	4
19	5
20	5
21	7
22	3
23	5
24	3
25	7
26	3
27	5
28	3
29	7
30	3
31	5
32	3
33	7
34	3
35	5
36	3
37	7
38	3
39	5
40	3
41	7
42	3
43	5
44	3
45	7
46	3
47	5
48	3
49	7
50	3
51	5
52	3
53	7
54	3
55	5
56	3
57	7
58	3
59	5
60	3
61	7
62	3
63	5
64	3
65	7
66	3
67	5
68	3
69	7
70	3
71	5
72	3
73	7
74	3
75	5
76	3
77	7
78	3
79	5
80	3
81	7
82	3
83	5
84	3
85	7
86	3
87	5
88	3
89	7
90	3
91	5
92	3
93	7
94	3
95	5
96	3
97	7
98	3
99	5
100	3
101	7
102	3
103	5
104	3
105	7
106	3
107	5
108	3
109	7
110	3
111	5
112	3

n	a(n)
1	1
2	1
3	1
4	2
5	3
6	3
7	4
8	5
9	6
10	6
11	4
12	6
13	7
14	5
15	5
16	6
17	7
18	4
19	5
20	5
21	7
22	3
23	5
24	3
25	7
26	3
27	5
28	3
29	7
30	3
31	5
32	3
33	7
34	3
35	5
36	3
37	7
38	3
39	5
40	3
41	7
42	3
43	5
44	3
45	7
46	3
47	5
48	3
49	7
50	3
51	5
52	3
53	7
54	3
55	5
56	3
57	7
58	3
59	5
60	3
61	7
62	3
63	5
64	3
65	7
66	3
67	5
68	3
69	7
70	3
71	5
72	3
73	7
74	3
75	5
76	3
77	7
78	3
79	5
80	3
81	7
82	3
83	5
84	3
85	7
86	3
87	5
88	3
89	7
90	3
91	5
92	3
93	7
94	3
95	5
96	3
97	7
98	3
99	5
100	3
101	7
102	3
103	5
104	3
105	7
106	3
107	5
108	3
109	7
110	3
111	5
112	3

n	a(n)
1	1
2	1
3	1
4	2
5	3
6	3
7	4
8	5
9	6
10	6
11	4
12	6
13	7
14	5
15	5
16	6
17	7
18	4
19	5
20	5
21	7
22	3
23	5
24	3
25	7
26	3
27	5
28	3
29	7
30	3
31	5
32	3
33	7
34	3
35	5
36	3
37	7
38	3
39	5
40	3
41	7
42	3
43	5
44	3
45	7
46	3
47	5
48	3
49	7
50	3
51	5
52	3
53	7
54	3
55	5
56	3
57	7
58	3
59	5
60	3
61	7
62	3
63	5
64	3
65	7
66	3
67	5
68	3
69	7
70	3
71	5
72	3
73	7
74	3
75	5
76	3
77	7
78	3
79	5
80	3
81	7
82	3
83	5
84	3
85	7
86	3
87	5
88	3
89	7
90	3
91	5
92	3
93	7
94	3
95	5
96	3
97	7
98	3
99	5
100	3
101	7
102	3
103	5
104	3
105	7
106	3
107	5
108	3
109	7
110	3
111	5
112	3