A210391 - cp's OEIS frontend

A210391 Number A(n,k) of semistandard Young tableaux over all partitions of n with maximal element <= k; square array A(n,k), n>=0, k>=0, read by antidiagonals.

n	a(n)
0	1
1	1
2	0
3	1
4	1
5	0
6	1
7	2
8	1
9	0
10	1
11	3
12	4
13	1
14	0
15	1
16	4
17	9
18	6
19	1
20	0
21	1
22	5
23	16
24	19
25	9
26	1
27	0
28	1
29	6
30	25
31	44
32	39
33	12
34	1
35	0
36	1
37	7
38	36
39	85
40	116
41	69
42	16
43	1
44	0
45	1
46	8
47	49
48	146
49	275
50	260
51	119
52	20
53	1
54	0
55	1
56	9
57	64
58	231
59	561
60	751
61	560
62	189
63	25
64	1
65	0

[1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 3, 4, 1, 0, 1, 4, 9, 6, 1, 0, 1, 5, 16, 19, 9, 1, 0, 1, 6, 25, 44, 39, 12, 1, 0, 1, 7, 36, 85, 116, 69, 16, 1, 0, 1, 8, 49, 146, 275, 260, 119, 20, 1, 0, 1, 9, 64, 231, 561, 751, 560, 189, 25, 1, 0]

cp's OEIS Frontend

A210391 Number A(n,k) of semistandard Young tableaux over all partitions of n with maximal element <= k; square array A(n,k), n>=0, k>=0, read by antidiagonals.

Table of values

List of values

n	a(n)
0	1
1	1
2	0
3	1
4	1
5	0
6	1
7	2
8	1
9	0
10	1
11	3
12	4
13	1
14	0
15	1
16	4
17	9
18	6
19	1
20	0
21	1
22	5
23	16
24	19
25	9
26	1
27	0
28	1
29	6
30	25
31	44
32	39
33	12
34	1
35	0
36	1
37	7
38	36
39	85
40	116
41	69
42	16
43	1
44	0
45	1
46	8
47	49
48	146
49	275
50	260
51	119
52	20
53	1
54	0
55	1
56	9
57	64
58	231
59	561
60	751
61	560
62	189
63	25
64	1
65	0

n	a(n)
0	1
1	1
2	0
3	1
4	1
5	0
6	1
7	2
8	1
9	0
10	1
11	3
12	4
13	1
14	0
15	1
16	4
17	9
18	6
19	1
20	0
21	1
22	5
23	16
24	19
25	9
26	1
27	0
28	1
29	6
30	25
31	44
32	39
33	12
34	1
35	0
36	1
37	7
38	36
39	85
40	116
41	69
42	16
43	1
44	0
45	1
46	8
47	49
48	146
49	275
50	260
51	119
52	20
53	1
54	0
55	1
56	9
57	64
58	231
59	561
60	751
61	560
62	189
63	25
64	1
65	0

n	a(n)
0	1
1	1
2	0
3	1
4	1
5	0
6	1
7	2
8	1
9	0
10	1
11	3
12	4
13	1
14	0
15	1
16	4
17	9
18	6
19	1
20	0
21	1
22	5
23	16
24	19
25	9
26	1
27	0
28	1
29	6
30	25
31	44
32	39
33	12
34	1
35	0
36	1
37	7
38	36
39	85
40	116
41	69
42	16
43	1
44	0
45	1
46	8
47	49
48	146
49	275
50	260
51	119
52	20
53	1
54	0
55	1
56	9
57	64
58	231
59	561
60	751
61	560
62	189
63	25
64	1
65	0