Array read by antidiagonals: T(n,m) = Sum m^max(k,n-k),k=0..n.

Terms

a(0) =1a(1) =1a(2) =2a(3) =1a(4) =4a(5) =3a(6) =1a(7) =6a(8) =10a(9) =4a(10) =1a(11) =8a(12) =21a(13) =24a(14) =5a(15) =1a(16) =10a(17) =36a(18) =72a(19) =52a(20) =6a(21) =1a(22) =12a(23) =55a(24) =160a(25) =225a(26) =112a(27) =7a(28) =1a(29) =14