A320036 - cp's OEIS frontend

A320036 a(n) is the number of integer partitions of n with largest part <= 7 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	7
9	8
10	8
11	8
12	12
13	14
14	13
15	11
16	16
17	16
18	16
19	17
20	18
21	18
22	20
23	16
24	21
25	20
26	19
27	16
28	17
29	19
30	15
31	18
32	15
33	19
34	12
35	17
36	14
37	20
38	11
39	17
40	10
41	7
42	19
43	9
44	18
45	7
46	19
47	9
48	17
49	7
50	20
51	9
52	17
53	7
54	19
55	9
56	18
57	7
58	19
59	9
60	17
61	7
62	20
63	9
64	17
65	7
66	19
67	9
68	18
69	7
70	19
71	9
72	17
73	7
74	20
75	9
76	17
77	7
78	19
79	9
80	18
81	7
82	19
83	9
84	17
85	7
86	20
87	9
88	17
89	7
90	19
91	9
92	18
93	7
94	19
95	9
96	17
97	7
98	20
99	9
100	17
101	7
102	19
103	9
104	18
105	7
106	19
107	9
108	17
109	7
110	20
111	9
112	17
113	7
114	19
115	9
116	18
117	7
118	19
119	9
120	17
121	7
122	20
123	9
124	17
125	7

[1, 1, 1, 2, 3, 3, 5, 7, 8, 8, 8, 12, 14, 13, 11, 16, 16, 16, 17, 18, 18, 20, 16, 21, 20, 19, 16, 17, 19, 15, 18, 15, 19, 12, 17, 14, 20, 11, 17, 10, 7, 19, 9, 18, 7, 19, 9, 17, 7, 20, 9, 17, 7, 19, 9, 18, 7, 19, 9, 17, 7, 20, 9, 17, 7, 19, 9, 18, 7, 19, 9, 17, 7, 20, 9, 17, 7, 19, 9, 18, 7, 19, 9, 17, 7, 20, 9, 17, 7, 19, 9, 18, 7, 19, 9, 17, 7, 20, 9, 17, 7, 19, 9, 18, 7, 19, 9, 17, 7, 20, 9, 17, 7, 19, 9, 18, 7, 19, 9, 17, 7, 20, 9, 17, 7]

cp's OEIS Frontend

A320036 a(n) is the number of integer partitions of n with largest part <= 7 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	7
9	8
10	8
11	8
12	12
13	14
14	13
15	11
16	16
17	16
18	16
19	17
20	18
21	18
22	20
23	16
24	21
25	20
26	19
27	16
28	17
29	19
30	15
31	18
32	15
33	19
34	12
35	17
36	14
37	20
38	11
39	17
40	10
41	7
42	19
43	9
44	18
45	7
46	19
47	9
48	17
49	7
50	20
51	9
52	17
53	7
54	19
55	9
56	18
57	7
58	19
59	9
60	17
61	7
62	20
63	9
64	17
65	7
66	19
67	9
68	18
69	7
70	19
71	9
72	17
73	7
74	20
75	9
76	17
77	7
78	19
79	9
80	18
81	7
82	19
83	9
84	17
85	7
86	20
87	9
88	17
89	7
90	19
91	9
92	18
93	7
94	19
95	9
96	17
97	7
98	20
99	9
100	17
101	7
102	19
103	9
104	18
105	7
106	19
107	9
108	17
109	7
110	20
111	9
112	17
113	7
114	19
115	9
116	18
117	7
118	19
119	9
120	17
121	7
122	20
123	9
124	17
125	7

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

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