Largest order of any solvable transitive Galois group for an irreducible polynomial of degree n.

Terms

a(0) =1a(1) =2a(2) =6a(3) =24a(4) =20a(5) =72a(6) =42a(7) =1152a(8) =1296a(9) =800a(10) =110a(11) =82944a(12) =156a(13) =3528a(14) =155520a(15) =7962624a(16) =272a(17) =2239488a(18) =342a(19) =159252480a(20) =11757312a(21) =225280a(22) =506a(23) =13759414272a(24) =64000000a(25) =1277952a(26) =13060694016a(27) =192631799808a(28) =812a(29) =48372940800