Triangle T(n, k) = binomial(n+1, k)*A142459(n+1, k+1)/(k+1), read by rows.

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =15a(5) =1a(6) =1a(7) =118a(8) =118a(9) =1a(10) =1a(11) =770a(12) =3540a(13) =770a(14) =1a(15) =1a(16) =4671a(17) =67810a(18) =67810a(19) =4671a(20) =1a(21) =1a(22) =27321a(23) =1039689a(24) =3085355a(25) =1039689a(26) =27321a(27) =1a(28) =1a(29) =156220