A228128 - cp's OEIS frontend

A228128 T(n,m) = semistandard Young tableau families, headed by a father SSYT with shape a partition of k, containing daughter SSYT of shape equal to once-trimmed father's shape, so that union of families equals all SSYT with sum of entries n.

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

[1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 3, 3, 1, 1, 0, 1, 3, 4, 3, 1, 1, 0, 1, 4, 7, 5, 3, 1, 1, 0, 1, 5, 8, 9, 6, 3, 1, 1, 0, 1, 5, 13, 13, 10, 6, 3, 1, 1, 0, 1, 6, 14, 20, 17, 11, 6, 3, 1, 1, 0, 1, 7, 20, 27, 28, 19, 12, 6, 3, 1, 1, 0, 1, 7, 22, 38, 40, 33, 20, 12, 6, 3, 1, 1, 0, 1, 8, 29, 49, 60, 51, 37, 21, 12, 6, 3, 1, 1, 0, 1, 9, 31, 65, 85, 79, 59, 39, 22, 12, 6, 3, 1, 1]

cp's OEIS Frontend

A228128 T(n,m) = semistandard Young tableau families, headed by a father SSYT with shape a partition of k, containing daughter SSYT of shape equal to once-trimmed father's shape, so that union of families equals all SSYT with sum of entries n.

Table of values

List of values

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

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

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