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).

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).

Terms

    a(0) =1a(1) =6a(2) =41a(3) =285a(4) =1989a(5) =13901a(6) =97215a(7) =680079a(8) =4758408a(9) =33297267a(10) =233014444a(11) =1630701426a(12) =11412409945a(13) =79870754268a(14) =558989013403

External references