A122370 - cp's OEIS frontend

A122370 Dimension of 6-variable non-commutative harmonics (twisted derivative). The dimension of the space of non-commutative polynomials in 6 variables which are killed by all symmetric differential operators (where for a monomial w, d_{xi} ( xi w ) = w and d_{xi} ( xj w ) = 0 for i/=j).

n	a(n)
0	1
1	5
2	29
3	172
4	1026
5	6134
6	36712
7	219847
8	1316963
9	7890594
10	47282065
11	283344410
12	1698058817
13	10176618298
14	60990528210
15	365532989831
16	2190756912988
17	13129979193808
18	78692862940748
19	471636719623539

[1, 5, 29, 172, 1026, 6134, 36712, 219847, 1316963, 7890594, 47282065, 283344410, 1698058817, 10176618298, 60990528210, 365532989831, 2190756912988, 13129979193808, 78692862940748, 471636719623539]

cp's OEIS Frontend

A122370 Dimension of 6-variable non-commutative harmonics (twisted derivative). The dimension of the space of non-commutative polynomials in 6 variables which are killed by all symmetric differential operators (where for a monomial w, d_{xi} ( xi w ) = w and d_{xi} ( xj w ) = 0 for i/=j).

Table of values

List of values