A122393 - cp's OEIS frontend

A122393 Dimension of 4-variable non-commutative harmonics (Hausdorff 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} ( w ) = sum over all subwords of w deleting xi once).

n	a(n)
0	1
1	3
2	11
3	44
4	176
5	706
6	2824
7	11296
8	45183
9	180731
10	722925
11	2891700
12	11566800
13	46267200
14	185068800
15	740275200
16	2961100800
17	11844403200
18	47377612800
19	189510451200
20	758041804800
21	3032167219200
22	12128668876800
23	48514675507200

[1, 3, 11, 44, 176, 706, 2824, 11296, 45183, 180731, 722925, 2891700, 11566800, 46267200, 185068800, 740275200, 2961100800, 11844403200, 47377612800, 189510451200, 758041804800, 3032167219200, 12128668876800, 48514675507200]

cp's OEIS Frontend

A122393 Dimension of 4-variable non-commutative harmonics (Hausdorff 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} ( w ) = sum over all subwords of w deleting xi once).

Table of values

List of values