A055105 - cp's OEIS frontend

A055105 Triangle read by rows: T(n,k) = number of noncommutative symmetric polynomials of degree n that have exactly k different variables appearing in each monomial and which generate the algebra of all noncommutative symmetric polynomials (n >= 1, 1 <= k <= n).

n	a(n)
1	1
2	0
3	1
4	0
5	1
6	1
7	0
8	1
9	4
10	1
11	0
12	1
13	12
14	8
15	1
16	0
17	1
18	33
19	44
20	13
21	1
22	0
23	1
24	88
25	208
26	109
27	19
28	1
29	0
30	1
31	232
32	910
33	753
34	223
35	26
36	1
37	0
38	1
39	609
40	3809
41	4674
42	2091
43	405
44	34
45	1
46	0
47	1
48	1596
49	15521
50	27161
51	17220
52	4926
53	677
54	43
55	1
56	0
57	1
58	4180
59	62185
60	151134
61	130480
62	51702
63	10342

[1, 0, 1, 0, 1, 1, 0, 1, 4, 1, 0, 1, 12, 8, 1, 0, 1, 33, 44, 13, 1, 0, 1, 88, 208, 109, 19, 1, 0, 1, 232, 910, 753, 223, 26, 1, 0, 1, 609, 3809, 4674, 2091, 405, 34, 1, 0, 1, 1596, 15521, 27161, 17220, 4926, 677, 43, 1, 0, 1, 4180, 62185, 151134, 130480, 51702, 10342]

cp's OEIS Frontend

A055105 Triangle read by rows: T(n,k) = number of noncommutative symmetric polynomials of degree n that have exactly k different variables appearing in each monomial and which generate the algebra of all noncommutative symmetric polynomials (n >= 1, 1 <= k <= n).

Table of values

List of values