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).
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).
Terms
- a(0) =1a(1) =2a(2) =5a(3) =15a(4) =46a(5) =139a(6) =416a(7) =1248a(8) =3744a(9) =11232a(10) =33696a(11) =101088a(12) =303264a(13) =909792a(14) =2729376a(15) =8188128a(16) =24564384a(17) =73693152a(18) =221079456a(19) =663238368a(20) =1989715104a(21) =5969145312a(22) =17907435936a(23) =53722307808a(24) =161166923424a(25) =483500770272
External references
- oeis: A122392