Convolution inverse of A001147.

Terms

a(0) =1a(1) =-1a(2) =-2a(3) =-10a(4) =-74a(5) =-706a(6) =-8162a(7) =-110410a(8) =-1708394a(9) =-29752066a(10) =-576037442a(11) =-12277827850a(12) =-285764591114