a(n) = number of types of conjugacy classes in GL(n,q) (this is independent of q).

Terms

a(0) =1a(1) =4a(2) =8a(3) =22a(4) =42a(5) =103a(6) =199a(7) =441a(8) =859a(9) =1784a(10) =3435a(11) =6882a(12) =13067a(13) =25366a(14) =47623a(15) =90312a(16) =167344a(17) =311603a(18) =570496a(19) =1045896a(20) =1893886a(21) =3426466a(22) =6140824a(23) =10984249a(24) =19499214a(25) =34526844a(26) =60758733a(27) =106613119a(28) =186099976a(29) =323883380