Square array of numbers read by antidiagonals where T(n,k) = ((k+3)*(k+2)^n-2)/(k+1).

Terms

a(0) =1a(1) =1a(2) =4a(3) =1a(4) =5a(5) =10a(6) =1a(7) =6a(8) =17a(9) =22a(10) =1a(11) =7a(12) =26a(13) =53a(14) =46a(15) =1a(16) =8a(17) =37a(18) =106a(19) =161a(20) =94a(21) =1a(22) =9a(23) =50a(24) =187a(25) =426a(26) =485a(27) =190a(28) =1a(29) =10