A122372 - cp's OEIS frontend

A122372 Dimension of 8-variable non-commutative harmonics (twisted derivative). The dimension of the space of non-commutative polynomials in 8 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	7
2	55
3	438
4	3498
5	27962
6	223604
7	1788406
8	14305102
9	114429193
10	915366442
11	7322521512
12	58577537621
13	468602617723
14	3748697751384
15	29988696932490
16	239903055854075
17	1919175464438065
18	15353030007717639
19	122821355074655309

[1, 7, 55, 438, 3498, 27962, 223604, 1788406, 14305102, 114429193, 915366442, 7322521512, 58577537621, 468602617723, 3748697751384, 29988696932490, 239903055854075, 1919175464438065, 15353030007717639, 122821355074655309]

cp's OEIS Frontend

A122372 Dimension of 8-variable non-commutative harmonics (twisted derivative). The dimension of the space of non-commutative polynomials in 8 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