a(n) = Sum_{k=1..n} k^5 * binomial(n,k).

Terms

a(0) =1a(1) =34a(2) =342a(3) =2192a(4) =11000a(5) =47232a(6) =181888a(7) =646144a(8) =2156544a(9) =6848000a(10) =20877824a(11) =61526016a(12) =176171008a(13) =492126208a(14) =1345536000a(15) =3610247168a(16) =9526771712a(17) =24769069056a(18) =63546720256a(19) =161087488000a(20) =403925630976