a(n) = Sum_{k=1..n} k^6*binomial(n,k).

Terms

a(0) =0a(1) =1a(2) =66a(3) =924a(4) =7400a(5) =44040a(6) =217392a(7) =942592a(8) =3714048a(9) =13593600a(10) =46914560a(11) =154328064a(12) =487778304a(13) =1490384896a(14) =4423372800a(15) =12801146880a(16) =36235378688a(17) =100580917248a(18) =274361352192a(19) =736775372800