Table read by rows. T(n, k) = n*((k + n)!)^2/((k + n)*(n!)^2*k!) for n > 0 and T(0, 0) = 1.

Terms

a(0) =1a(1) =1a(2) =2a(3) =1a(4) =6a(5) =36a(6) =1a(7) =12a(8) =120a(9) =1200a(10) =1a(11) =20a(12) =300a(13) =4200a(14) =58800a(15) =1a(16) =30a(17) =630a(18) =11760a(19) =211680a(20) =3810240a(21) =1a(22) =42a(23) =1176a(24) =28224a(25) =635040a(26) =13970880a(27) =307359360a(28) =1a(29) =56