A182172 - cp's OEIS frontend

A182172 Number A(n,k) of standard Young tableaux of n cells and height <= 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	1
8	1
9	0
10	1
11	1
12	2
13	1
14	0
15	1
16	1
17	2
18	3
19	1
20	0
21	1
22	1
23	2
24	4
25	6
26	1
27	0
28	1
29	1
30	2
31	4
32	9
33	10
34	1
35	0
36	1
37	1
38	2
39	4
40	10
41	21
42	20
43	1
44	0
45	1
46	1
47	2
48	4
49	10
50	25
51	51
52	35
53	1
54	0
55	1
56	1
57	2
58	4
59	10
60	26
61	70
62	127
63	70
64	1
65	0
66	1
67	1
68	2
69	4
70	10
71	26
72	75
73	196
74	323
75	126
76	1
77	0
78	1
79	1
80	2
81	4
82	10
83	26
84	76
85	225
86	588
87	835
88	252
89	1
90	0

[1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 3, 1, 0, 1, 1, 2, 4, 6, 1, 0, 1, 1, 2, 4, 9, 10, 1, 0, 1, 1, 2, 4, 10, 21, 20, 1, 0, 1, 1, 2, 4, 10, 25, 51, 35, 1, 0, 1, 1, 2, 4, 10, 26, 70, 127, 70, 1, 0, 1, 1, 2, 4, 10, 26, 75, 196, 323, 126, 1, 0, 1, 1, 2, 4, 10, 26, 76, 225, 588, 835, 252, 1, 0]

cp's OEIS Frontend

A182172 Number A(n,k) of standard Young tableaux of n cells and height <= 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	1
8	1
9	0
10	1
11	1
12	2
13	1
14	0
15	1
16	1
17	2
18	3
19	1
20	0
21	1
22	1
23	2
24	4
25	6
26	1
27	0
28	1
29	1
30	2
31	4
32	9
33	10
34	1
35	0
36	1
37	1
38	2
39	4
40	10
41	21
42	20
43	1
44	0
45	1
46	1
47	2
48	4
49	10
50	25
51	51
52	35
53	1
54	0
55	1
56	1
57	2
58	4
59	10
60	26
61	70
62	127
63	70
64	1
65	0
66	1
67	1
68	2
69	4
70	10
71	26
72	75
73	196
74	323
75	126
76	1
77	0
78	1
79	1
80	2
81	4
82	10
83	26
84	76
85	225
86	588
87	835
88	252
89	1
90	0

n	a(n)
0	1
1	1
2	0
3	1
4	1
5	0
6	1
7	1
8	1
9	0
10	1
11	1
12	2
13	1
14	0
15	1
16	1
17	2
18	3
19	1
20	0
21	1
22	1
23	2
24	4
25	6
26	1
27	0
28	1
29	1
30	2
31	4
32	9
33	10
34	1
35	0
36	1
37	1
38	2
39	4
40	10
41	21
42	20
43	1
44	0
45	1
46	1
47	2
48	4
49	10
50	25
51	51
52	35
53	1
54	0
55	1
56	1
57	2
58	4
59	10
60	26
61	70
62	127
63	70
64	1
65	0
66	1
67	1
68	2
69	4
70	10
71	26
72	75
73	196
74	323
75	126
76	1
77	0
78	1
79	1
80	2
81	4
82	10
83	26
84	76
85	225
86	588
87	835
88	252
89	1
90	0

n	a(n)
0	1
1	1
2	0
3	1
4	1
5	0
6	1
7	1
8	1
9	0
10	1
11	1
12	2
13	1
14	0
15	1
16	1
17	2
18	3
19	1
20	0
21	1
22	1
23	2
24	4
25	6
26	1
27	0
28	1
29	1
30	2
31	4
32	9
33	10
34	1
35	0
36	1
37	1
38	2
39	4
40	10
41	21
42	20
43	1
44	0
45	1
46	1
47	2
48	4
49	10
50	25
51	51
52	35
53	1
54	0
55	1
56	1
57	2
58	4
59	10
60	26
61	70
62	127
63	70
64	1
65	0
66	1
67	1
68	2
69	4
70	10
71	26
72	75
73	196
74	323
75	126
76	1
77	0
78	1
79	1
80	2
81	4
82	10
83	26
84	76
85	225
86	588
87	835
88	252
89	1
90	0