Triangle read by rows, T(n, k) = (-1)^(n-k)*Bell(k)*Stirling1(n+1, k+1), for 0 <= k <= n.

Terms

a(0) =1a(1) =1a(2) =1a(3) =2a(4) =3a(5) =2a(6) =6a(7) =11a(8) =12a(9) =5a(10) =24a(11) =50a(12) =70a(13) =50a(14) =15a(15) =120a(16) =274a(17) =450a(18) =425a(19) =225a(20) =52a(21) =720a(22) =1764a(23) =3248a(24) =3675a(25) =2625a(26) =1092a(27) =203a(28) =5040a(29) =13068