Highly composite odd numbers: odd numbers where d(n) increases to a record.

Terms

a(0) =1a(1) =3a(2) =9a(3) =15a(4) =45a(5) =105a(6) =225a(7) =315a(8) =945a(9) =1575a(10) =2835a(11) =3465a(12) =10395a(13) =17325a(14) =31185a(15) =45045a(16) =121275a(17) =135135a(18) =225225a(19) =405405a(20) =675675a(21) =1576575a(22) =2027025a(23) =2297295a(24) =3828825a(25) =6891885a(26) =11486475a(27) =26801775a(28) =34459425a(29) =43648605