Triangle read by rows: t(n,k)=Binomial[n, k] + Binomial[k*(n - k), n].

Terms

a(0) =2a(1) =1a(2) =1a(3) =1a(4) =2a(5) =1a(6) =1a(7) =3a(8) =3a(9) =1a(10) =1a(11) =4a(12) =7a(13) =4a(14) =1a(15) =1a(16) =5a(17) =16a(18) =16a(19) =5a(20) =1a(21) =1a(22) =6a(23) =43a(24) =104a(25) =43a(26) =6a(27) =1a(28) =1a(29) =7