A319982 - cp's OEIS frontend

A319982 a(n) is the number of integer partitions of n with largest part <= 4 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	2
7	3
8	3
9	4
10	3
11	3
12	2
13	4
14	2
15	3
16	1
17	4
18	2
19	3
20	0
21	4
22	2
23	3
24	0
25	4
26	2
27	3
28	0
29	4
30	2
31	3
32	0
33	4
34	2
35	3
36	0
37	4
38	2
39	3
40	0
41	4
42	2
43	3
44	0
45	4
46	2
47	3
48	0
49	4
50	2
51	3
52	0
53	4
54	2
55	3
56	0
57	4
58	2
59	3
60	0
61	4
62	2
63	3
64	0
65	4
66	2
67	3
68	0
69	4
70	2
71	3
72	0
73	4
74	2
75	3
76	0
77	4
78	2
79	3
80	0
81	4
82	2
83	3
84	0
85	4
86	2
87	3
88	0
89	4
90	2
91	3
92	0
93	4
94	2
95	3
96	0
97	4
98	2
99	3
100	0
101	4
102	2
103	3
104	0
105	4
106	2
107	3
108	0
109	4
110	2
111	3
112	0
113	4
114	2
115	3
116	0
117	4
118	2
119	3
120	0
121	4
122	2
123	3
124	0
125	4
126	2
127	3
128	0

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

cp's OEIS Frontend

A319982 a(n) is the number of integer partitions of n with largest part <= 4 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	2
7	3
8	3
9	4
10	3
11	3
12	2
13	4
14	2
15	3
16	1
17	4
18	2
19	3
20	0
21	4
22	2
23	3
24	0
25	4
26	2
27	3
28	0
29	4
30	2
31	3
32	0
33	4
34	2
35	3
36	0
37	4
38	2
39	3
40	0
41	4
42	2
43	3
44	0
45	4
46	2
47	3
48	0
49	4
50	2
51	3
52	0
53	4
54	2
55	3
56	0
57	4
58	2
59	3
60	0
61	4
62	2
63	3
64	0
65	4
66	2
67	3
68	0
69	4
70	2
71	3
72	0
73	4
74	2
75	3
76	0
77	4
78	2
79	3
80	0
81	4
82	2
83	3
84	0
85	4
86	2
87	3
88	0
89	4
90	2
91	3
92	0
93	4
94	2
95	3
96	0
97	4
98	2
99	3
100	0
101	4
102	2
103	3
104	0
105	4
106	2
107	3
108	0
109	4
110	2
111	3
112	0
113	4
114	2
115	3
116	0
117	4
118	2
119	3
120	0
121	4
122	2
123	3
124	0
125	4
126	2
127	3
128	0

n	a(n)
1	1
2	1
3	1
4	2
5	3
6	2
7	3
8	3
9	4
10	3
11	3
12	2
13	4
14	2
15	3
16	1
17	4
18	2
19	3
20	0
21	4
22	2
23	3
24	0
25	4
26	2
27	3
28	0
29	4
30	2
31	3
32	0
33	4
34	2
35	3
36	0
37	4
38	2
39	3
40	0
41	4
42	2
43	3
44	0
45	4
46	2
47	3
48	0
49	4
50	2
51	3
52	0
53	4
54	2
55	3
56	0
57	4
58	2
59	3
60	0
61	4
62	2
63	3
64	0
65	4
66	2
67	3
68	0
69	4
70	2
71	3
72	0
73	4
74	2
75	3
76	0
77	4
78	2
79	3
80	0
81	4
82	2
83	3
84	0
85	4
86	2
87	3
88	0
89	4
90	2
91	3
92	0
93	4
94	2
95	3
96	0
97	4
98	2
99	3
100	0
101	4
102	2
103	3
104	0
105	4
106	2
107	3
108	0
109	4
110	2
111	3
112	0
113	4
114	2
115	3
116	0
117	4
118	2
119	3
120	0
121	4
122	2
123	3
124	0
125	4
126	2
127	3
128	0

n	a(n)
1	1
2	1
3	1
4	2
5	3
6	2
7	3
8	3
9	4
10	3
11	3
12	2
13	4
14	2
15	3
16	1
17	4
18	2
19	3
20	0
21	4
22	2
23	3
24	0
25	4
26	2
27	3
28	0
29	4
30	2
31	3
32	0
33	4
34	2
35	3
36	0
37	4
38	2
39	3
40	0
41	4
42	2
43	3
44	0
45	4
46	2
47	3
48	0
49	4
50	2
51	3
52	0
53	4
54	2
55	3
56	0
57	4
58	2
59	3
60	0
61	4
62	2
63	3
64	0
65	4
66	2
67	3
68	0
69	4
70	2
71	3
72	0
73	4
74	2
75	3
76	0
77	4
78	2
79	3
80	0
81	4
82	2
83	3
84	0
85	4
86	2
87	3
88	0
89	4
90	2
91	3
92	0
93	4
94	2
95	3
96	0
97	4
98	2
99	3
100	0
101	4
102	2
103	3
104	0
105	4
106	2
107	3
108	0
109	4
110	2
111	3
112	0
113	4
114	2
115	3
116	0
117	4
118	2
119	3
120	0
121	4
122	2
123	3
124	0
125	4
126	2
127	3
128	0