Square array, read by antidiagonals, upwards: T(n,k) is the number of groups of order prime(k+1)^n.

Terms

a(0) =1a(1) =1a(2) =1a(3) =2a(4) =1a(5) =1a(6) =5a(7) =2a(8) =1a(9) =1a(10) =14a(11) =5a(12) =2a(13) =1a(14) =1a(15) =51a(16) =15a(17) =5a(18) =2a(19) =1a(20) =1a(21) =267a(22) =67a(23) =15a(24) =5a(25) =2a(26) =1a(27) =1a(28) =2328a(29) =504