Signed version of the partition array A036039 (signed M_2 multinomial numbers).

Terms

a(0) =1a(1) =-1a(2) =1a(3) =2a(4) =-3a(5) =1a(6) =-6a(7) =8a(8) =3a(9) =-6a(10) =1a(11) =24a(12) =-30a(13) =-20a(14) =20a(15) =15a(16) =-10a(17) =1a(18) =-120a(19) =144a(20) =90a(21) =40a(22) =-90a(23) =-120a(24) =-15a(25) =40a(26) =45a(27) =-15a(28) =1a(29) =720