A047884 - cp's OEIS frontend

A047884 Triangle of numbers a(n,k) = number of Young tableaux with n cells and k rows (1 <= k <= n); also number of self-inverse permutations on n letters in which the length of the longest scattered (i.e., not necessarily contiguous) increasing subsequence is k.

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	1
7	1
8	5
9	3
10	1
11	1
12	9
13	11
14	4
15	1
16	1
17	19
18	31
19	19
20	5
21	1
22	1
23	34
24	92
25	69
26	29
27	6
28	1
29	1
30	69
31	253
32	265
33	127
34	41
35	7
36	1
37	1
38	125
39	709
40	929
41	583
42	209
43	55
44	8
45	1
46	1
47	251
48	1936
49	3356
50	2446
51	1106
52	319
53	71
54	9
55	1
56	1
57	461
58	5336
59	11626
60	10484
61	5323
62	1904
63	461
64	89
65	10
66	1

[1, 1, 1, 1, 2, 1, 1, 5, 3, 1, 1, 9, 11, 4, 1, 1, 19, 31, 19, 5, 1, 1, 34, 92, 69, 29, 6, 1, 1, 69, 253, 265, 127, 41, 7, 1, 1, 125, 709, 929, 583, 209, 55, 8, 1, 1, 251, 1936, 3356, 2446, 1106, 319, 71, 9, 1, 1, 461, 5336, 11626, 10484, 5323, 1904, 461, 89, 10, 1]

cp's OEIS Frontend

A047884 Triangle of numbers a(n,k) = number of Young tableaux with n cells and k rows (1 <= k <= n); also number of self-inverse permutations on n letters in which the length of the longest scattered (i.e., not necessarily contiguous) increasing subsequence is k.

Table of values

List of values