Minimal value of |product(A) - product(B)| where A and B are a partition of {1,2,3,...,n}.

Terms

a(0) =0a(1) =0a(2) =1a(3) =1a(4) =2a(5) =2a(6) =6a(7) =2a(8) =18a(9) =54a(10) =30a(11) =36a(12) =576a(13) =576a(14) =840a(15) =6120a(16) =24480a(17) =20160a(18) =93696a(19) =420480a(20) =800640a(21) =1305696a(22) =7983360a(23) =80313120a(24) =65318400a(25) =326592000a(26) =2286926400a(27) =3002360256a(28) =13680979200a(29) =37744574400