Triangle read by rows: T(n,k) = binomial(2*n,k)*Stirling2(2*n-k,n).

Terms

a(0) =1a(1) =1a(2) =2a(3) =7a(4) =12a(5) =6a(6) =90a(7) =150a(8) =90a(9) =20a(10) =1701a(11) =2800a(12) =1820a(13) =560a(14) =70a(15) =42525a(16) =69510a(17) =47250a(18) =16800a(19) =3150a(20) =252a(21) =1323652a(22) =2153844a(23) =1506582a(24) =582120a(25) =131670a(26) =16632a(27) =924a(28) =49329280a(29) =80015936