A122394 - cp's OEIS frontend

A122394 Dimension of 5-variable non-commutative harmonics (Hausdorff 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} ( w ) = sum over all subwords of w deleting xi once).

n	a(n)
0	1
1	4
2	19
3	95
4	475
5	2376
6	11881
7	59406
8	297029
9	1485144
10	7425719
11	37128595
12	185642975
13	928214876
14	4641074381
15	23205371904
16	116026859520
17	580134297600
18	2900671488000
19	14503357440000
20	72516787200000
21	362583936000000

[1, 4, 19, 95, 475, 2376, 11881, 59406, 297029, 1485144, 7425719, 37128595, 185642975, 928214876, 4641074381, 23205371904, 116026859520, 580134297600, 2900671488000, 14503357440000, 72516787200000, 362583936000000]

cp's OEIS Frontend

A122394 Dimension of 5-variable non-commutative harmonics (Hausdorff 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} ( w ) = sum over all subwords of w deleting xi once).

Table of values

List of values