A319981 - cp's OEIS frontend

A319981 a(n) is the number of integer partitions of n with largest part <= 3 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	2
6	1
7	2
8	1
9	2
10	1
11	2
12	1
13	2
14	0
15	2
16	0
17	2
18	0
19	2
20	0
21	2
22	0
23	2
24	0
25	2
26	0
27	2
28	0
29	2
30	0
31	2
32	0
33	2
34	0
35	2
36	0
37	2
38	0
39	2
40	0
41	2
42	0
43	2
44	0
45	2
46	0
47	2
48	0
49	2
50	0
51	2
52	0
53	2
54	0
55	2
56	0
57	2
58	0
59	2
60	0
61	2
62	0
63	2
64	0
65	2
66	0
67	2
68	0
69	2
70	0
71	2
72	0
73	2
74	0
75	2
76	0
77	2
78	0
79	2
80	0
81	2
82	0
83	2
84	0
85	2
86	0
87	2
88	0
89	2
90	0
91	2
92	0
93	2
94	0
95	2
96	0
97	2
98	0
99	2
100	0
101	2
102	0
103	2
104	0
105	2
106	0
107	2
108	0
109	2

[1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2]

cp's OEIS Frontend

A319981 a(n) is the number of integer partitions of n with largest part <= 3 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	2
6	1
7	2
8	1
9	2
10	1
11	2
12	1
13	2
14	0
15	2
16	0
17	2
18	0
19	2
20	0
21	2
22	0
23	2
24	0
25	2
26	0
27	2
28	0
29	2
30	0
31	2
32	0
33	2
34	0
35	2
36	0
37	2
38	0
39	2
40	0
41	2
42	0
43	2
44	0
45	2
46	0
47	2
48	0
49	2
50	0
51	2
52	0
53	2
54	0
55	2
56	0
57	2
58	0
59	2
60	0
61	2
62	0
63	2
64	0
65	2
66	0
67	2
68	0
69	2
70	0
71	2
72	0
73	2
74	0
75	2
76	0
77	2
78	0
79	2
80	0
81	2
82	0
83	2
84	0
85	2
86	0
87	2
88	0
89	2
90	0
91	2
92	0
93	2
94	0
95	2
96	0
97	2
98	0
99	2
100	0
101	2
102	0
103	2
104	0
105	2
106	0
107	2
108	0
109	2

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

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