A191714 - cp's OEIS frontend

A191714 a(n,k) equals the number of semistandard Young tableaux with shape of a partition of n and maximal element <= k.

n	a(n)
1	1
2	1
3	4
4	1
5	6
6	19
7	1
8	9
9	39
10	116
11	1
12	12
13	69
14	260
15	751
16	1
17	16
18	119
19	560
20	1955
21	5552
22	1
23	20
24	189
25	1100
26	4615
27	15372
28	43219
29	1
30	25
31	294
32	2090
33	10460
34	40677
35	131131
36	366088
37	1
38	30
39	434
40	3740
41	22220
42	100562
43	370909
44	1168008
45	3245311
46	1
47	36
48	630
49	6512
50	45628
51	239316
52	1007083
53	3570240
54	11042199
55	30569012
56	1
57	42
58	882
59	10868
60	89420
61	541926
62	2596573
63	10347864
64	35587071
65	108535130
66	299662672
67	1
68	49
69	1218
70	17732
71	170340
72	1188341
73	6466159
74	28915056
75	110426979
76	370661885
77	1117689232
78	3079276708

[1, 1, 4, 1, 6, 19, 1, 9, 39, 116, 1, 12, 69, 260, 751, 1, 16, 119, 560, 1955, 5552, 1, 20, 189, 1100, 4615, 15372, 43219, 1, 25, 294, 2090, 10460, 40677, 131131, 366088, 1, 30, 434, 3740, 22220, 100562, 370909, 1168008, 3245311, 1, 36, 630, 6512, 45628, 239316, 1007083, 3570240, 11042199, 30569012, 1, 42, 882, 10868, 89420, 541926, 2596573, 10347864, 35587071, 108535130, 299662672, 1, 49, 1218, 17732, 170340, 1188341, 6466159, 28915056, 110426979, 370661885, 1117689232, 3079276708]

cp's OEIS Frontend

A191714 a(n,k) equals the number of semistandard Young tableaux with shape of a partition of n and maximal element <= k.

Table of values

List of values