a(n) = Sum_{k=0..n} (-1)^k*A345652(k)*Stirling1(n, k).

Terms

a(0) =1a(1) =0a(2) =-1a(3) =1a(4) =1a(5) =-4a(6) =1a(7) =29a(8) =-167a(9) =1000a(10) =-7989a(11) =75857a(12) =-794639a(13) =9058180a(14) =-111944923a(15) =1492748581a(16) =-21369667087a(17) =326932765840