A122369 - cp's OEIS frontend

A122369 Dimension of 5-variable non-commutative harmonics (twisted derivative). The dimension of the space of non-commutative polynomials in 5 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	4
2	19
3	93
4	459
5	2273
6	11274
7	55964
8	277924
9	1380527
10	6858356
11	34074280
12	169297743
13	841173845
14	4179517118
15	20766807551
16	103184684826
17	512698227699
18	2547469553647
19	12657750705603
20	62893284231103
21	312501512711984
22	1552744642741738
23	7715214279423070

[1, 4, 19, 93, 459, 2273, 11274, 55964, 277924, 1380527, 6858356, 34074280, 169297743, 841173845, 4179517118, 20766807551, 103184684826, 512698227699, 2547469553647, 12657750705603, 62893284231103, 312501512711984, 1552744642741738, 7715214279423070]

cp's OEIS Frontend

A122369 Dimension of 5-variable non-commutative harmonics (twisted derivative). The dimension of the space of non-commutative polynomials in 5 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