Smallest number whose divisors have n non-singleton runs.

Terms

a(0) =1a(1) =2a(2) =20a(3) =90a(4) =630a(5) =1260a(6) =3780a(7) =21420a(8) =41580a(9) =128520a(10) =270270a(11) =554400a(12) =706860a(13) =1413720a(14) =2042040a(15) =4324320a(16) =4084080a(17) =9189180a(18) =6126120a(19) =43825320a(20) =12252240a(21) =18378360a(22) =82162080a(23) =36756720a(24) =85765680a(25) =73513440a(26) =183783600a(27) =306306000a(28) =257297040a(29) =563603040