A320034 - cp's OEIS frontend

A320034 a(n) is the number of integer partitions of n with largest part <= 6 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	5
8	6
9	7
10	7
11	6
12	9
13	11
14	8
15	8
16	9
17	11
18	9
19	11
20	9
21	12
22	9
23	8
24	9
25	14
26	6
27	9
28	5
29	11
30	6
31	11
32	4
33	12
34	5
35	8
36	4
37	14
38	5
39	9
40	3
41	11
42	5
43	11
44	3
45	12
46	5
47	8
48	3
49	14
50	5
51	9
52	3
53	11
54	5
55	11
56	3
57	12
58	5
59	8
60	3
61	14
62	5
63	9
64	3
65	11
66	5
67	11
68	3
69	12
70	5
71	8
72	3
73	14
74	5
75	9
76	3
77	11
78	5
79	11
80	3
81	12
82	5
83	8
84	3
85	14
86	5
87	9
88	3
89	11
90	5
91	11
92	3
93	12
94	5
95	8
96	3

[1, 1, 1, 2, 3, 3, 5, 6, 7, 7, 6, 9, 11, 8, 8, 9, 11, 9, 11, 9, 12, 9, 8, 9, 14, 6, 9, 5, 11, 6, 11, 4, 12, 5, 8, 4, 14, 5, 9, 3, 11, 5, 11, 3, 12, 5, 8, 3, 14, 5, 9, 3, 11, 5, 11, 3, 12, 5, 8, 3, 14, 5, 9, 3, 11, 5, 11, 3, 12, 5, 8, 3, 14, 5, 9, 3, 11, 5, 11, 3, 12, 5, 8, 3, 14, 5, 9, 3, 11, 5, 11, 3, 12, 5, 8, 3]

cp's OEIS Frontend

A320034 a(n) is the number of integer partitions of n with largest part <= 6 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	5
8	6
9	7
10	7
11	6
12	9
13	11
14	8
15	8
16	9
17	11
18	9
19	11
20	9
21	12
22	9
23	8
24	9
25	14
26	6
27	9
28	5
29	11
30	6
31	11
32	4
33	12
34	5
35	8
36	4
37	14
38	5
39	9
40	3
41	11
42	5
43	11
44	3
45	12
46	5
47	8
48	3
49	14
50	5
51	9
52	3
53	11
54	5
55	11
56	3
57	12
58	5
59	8
60	3
61	14
62	5
63	9
64	3
65	11
66	5
67	11
68	3
69	12
70	5
71	8
72	3
73	14
74	5
75	9
76	3
77	11
78	5
79	11
80	3
81	12
82	5
83	8
84	3
85	14
86	5
87	9
88	3
89	11
90	5
91	11
92	3
93	12
94	5
95	8
96	3

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

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