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

Terms

a(0) =-1a(1) =2a(2) =-2a(3) =-6a(4) =9a(5) =-3a(6) =24a(7) =-44a(8) =24a(9) =-4a(10) =-120a(11) =250a(12) =-175a(13) =50a(14) =-5a(15) =720a(16) =-1644a(17) =1350a(18) =-510a(19) =90a(20) =-6a(21) =-5040a(22) =12348a(23) =-11368a(24) =5145a(25) =-1225a(26) =147a(27) =-7a(28) =40320a(29) =-104544