Square array T(n, k) = q-binomial(2*n, n, k+1), read by antidiagonals.

Terms

a(0) =1a(1) =1a(2) =2a(3) =1a(4) =3a(5) =6a(6) =1a(7) =4a(8) =35a(9) =20a(10) =1a(11) =5a(12) =130a(13) =1395a(14) =70a(15) =1a(16) =6a(17) =357a(18) =33880a(19) =200787a(20) =252a(21) =1a(22) =7a(23) =806a(24) =376805a(25) =75913222a(26) =109221651a(27) =924a(28) =1a(29) =8