A122392 - cp's OEIS frontend

A122392 Dimension of 3-variable non-commutative harmonics (Hausdorff derivative). The dimension of the space of non-commutative polynomials in 3 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	2
2	5
3	15
4	46
5	139
6	416
7	1248
8	3744
9	11232
10	33696
11	101088
12	303264
13	909792
14	2729376
15	8188128
16	24564384
17	73693152
18	221079456
19	663238368
20	1989715104
21	5969145312
22	17907435936
23	53722307808
24	161166923424
25	483500770272
26	1450502310816

[1, 2, 5, 15, 46, 139, 416, 1248, 3744, 11232, 33696, 101088, 303264, 909792, 2729376, 8188128, 24564384, 73693152, 221079456, 663238368, 1989715104, 5969145312, 17907435936, 53722307808, 161166923424, 483500770272, 1450502310816]

cp's OEIS Frontend

A122392 Dimension of 3-variable non-commutative harmonics (Hausdorff derivative). The dimension of the space of non-commutative polynomials in 3 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