Triangle with T(n,k) = k*E(n,k) where E(n,k) are Eulerian numbers A008292.

Terms

a(0) =1a(1) =1a(2) =2a(3) =1a(4) =8a(5) =3a(6) =1a(7) =22a(8) =33a(9) =4a(10) =1a(11) =52a(12) =198a(13) =104a(14) =5a(15) =1a(16) =114a(17) =906a(18) =1208a(19) =285a(20) =6a(21) =1a(22) =240a(23) =3573a(24) =9664a(25) =5955a(26) =720a(27) =7a(28) =1a(29) =494