Numbers k where records occur for d(k)/d(k+1), where d(k) is the number of divisors of k (A000005).

Terms

a(0) =1a(1) =2a(2) =4a(3) =6a(4) =12a(5) =30a(6) =36a(7) =60a(8) =180a(9) =240a(10) =420a(11) =1008a(12) =1320a(13) =1800a(14) =2160a(15) =2520a(16) =6300a(17) =7560a(18) =12600a(19) =15120a(20) =20160a(21) =30240a(22) =45360a(23) =55440a(24) =100800a(25) =110880a(26) =196560a(27) =332640a(28) =498960a(29) =786240