a(n) = Sum_{k=0..floor(n/2)} (-n)^k * Stirling1(n,2*k).

A357721

a(n) = Sum_{k=0..floor(n/2)} (-n)^k * Stirling1(n,2*k).

Terms

    a(0) =1a(1) =0a(2) =-2a(3) =9a(4) =-28a(5) =0a(6) =1200a(7) =-16464a(8) =167904a(9) =-1393200a(10) =7429240a(11) =43124400a(12) =-2404571904a(13) =55590286752

External references