Triangle, read by rows, T(n,k) = 2*k*C(2*(n+k),n-k)/(n+k).

Terms

a(0) =1a(1) =4a(2) =1a(3) =14a(4) =8a(5) =1a(6) =48a(7) =44a(8) =12a(9) =1a(10) =165a(11) =208a(12) =90a(13) =16a(14) =1a(15) =572a(16) =910a(17) =544a(18) =152a(19) =20a(20) =1a(21) =2002a(22) =3808a(23) =2907a(24) =1120a(25) =230a(26) =24a(27) =1a(28) =7072a(29) =15504