Incrementally largest number of nonisomorphic finite Abelian groups as a function of order.

Terms

a(0) =1a(1) =2a(2) =3a(3) =5a(4) =7a(5) =11a(6) =15a(7) =22a(8) =30a(9) =42a(10) =56a(11) =77a(12) =101a(13) =135a(14) =176a(15) =231a(16) =297a(17) =303a(18) =385a(19) =405a(20) =490a(21) =505a(22) =528a(23) =539a(24) =627a(25) =675a(26) =693a(27) =707a(28) =792a(29) =880