Dimension of 2-variable non-commutative harmonics (Hausdorff derivative). The dimension of the space of non-commutative polynomials in 2 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).
A122391
Dimension of 2-variable non-commutative harmonics (Hausdorff derivative). The dimension of the space of non-commutative polynomials in 2 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) =1a(2) =1a(3) =3a(4) =6a(5) =12a(6) =24a(7) =48a(8) =96a(9) =192a(10) =384a(11) =768a(12) =1536a(13) =3072a(14) =6144a(15) =12288a(16) =24576a(17) =49152a(18) =98304a(19) =196608a(20) =393216a(21) =786432a(22) =1572864a(23) =3145728a(24) =6291456a(25) =12582912a(26) =25165824a(27) =50331648a(28) =100663296a(29) =201326592
External references
- oeis: A122391