a(n) = Sum_{k=0..floor(n/2)} n^k * Stirling2(n,2*k).

A357682

a(n) = Sum_{k=0..floor(n/2)} n^k * Stirling2(n,2*k).

Terms

    a(0) =1a(1) =0a(2) =2a(3) =9a(4) =44a(5) =325a(6) =2742a(7) =24794a(8) =250168a(9) =2796795a(10) =33842610a(11) =439337085a(12) =6100179780a(13) =90139379928

External references