a(n) = Sum_{k=0..2n} (k+1) * A027082(n, k).

Terms

a(0) =1a(1) =6a(2) =28a(3) =114a(4) =422a(5) =1498a(6) =5146a(7) =17282a(8) =57088a(9) =186234a(10) =601618a(11) =1928314a(12) =6141164a(13) =19453974a(14) =61349680a(15) =192729074a(16) =603449486a(17) =1883989018a(18) =5866941586a(19) =18229205738a(20) =56526585004a(21) =174967361838a(22) =540701808500