a(n) = Sum_{k=0..n} k^5 * 2^(n-k) * binomial(n,k).

Terms

a(0) =0a(1) =1a(2) =36a(3) =447a(4) =3768a(5) =25725a(6) =153468a(7) =832923a(8) =4213296a(9) =20179449a(10) =92510100a(11) =409137399a(12) =1755881064a(13) =7345518453a(14) =30059956332a(15) =120676965075a(16) =476358203232