A122368 - cp's OEIS frontend

A122368 Dimension of 4-variable non-commutative harmonics (twisted derivative). The dimension of the space of non-commutative polynomials in 4 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)
1	1
2	3
3	11
4	42
5	162
6	627
7	2430
8	9423
9	36549
10	141777
11	549990
12	2133594
13	8276985
14	32109534
15	124565121
16	483235875
17	1874657763
18	7272519066
19	28212902154
20	109448714619
21	424593725526
22	1647162628047
23	6389978382405
24	24789187818585

[1, 3, 11, 42, 162, 627, 2430, 9423, 36549, 141777, 549990, 2133594, 8276985, 32109534, 124565121, 483235875, 1874657763, 7272519066, 28212902154, 109448714619, 424593725526, 1647162628047, 6389978382405, 24789187818585]

cp's OEIS Frontend

A122368 Dimension of 4-variable non-commutative harmonics (twisted derivative). The dimension of the space of non-commutative polynomials in 4 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