A122371 - cp's OEIS frontend

A122371 Dimension of 7-variable non-commutative harmonics (twisted derivative). The dimension of the space of non-commutative polynomials in 7 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	6
2	41
3	285
4	1989
5	13901
6	97215
7	680079
8	4758408
9	33297267
10	233014444
11	1630701426
12	11412409945
13	79870754268
14	558989013403
15	3912210491549
16	27380636068267
17	191631324294463
18	1341190961828143
19	9386756237545989

[1, 6, 41, 285, 1989, 13901, 97215, 680079, 4758408, 33297267, 233014444, 1630701426, 11412409945, 79870754268, 558989013403, 3912210491549, 27380636068267, 191631324294463, 1341190961828143, 9386756237545989]

cp's OEIS Frontend

A122371 Dimension of 7-variable non-commutative harmonics (twisted derivative). The dimension of the space of non-commutative polynomials in 7 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