a(n) = Sum_{k=0..2n} (k+1) * A027023(n,k).

Terms

a(0) =1a(1) =6a(2) =23a(3) =80a(4) =285a(5) =990a(6) =3367a(7) =11256a(8) =37097a(9) =120862a(10) =390123a(11) =1249728a(12) =3978365a(13) =12598350a(14) =39718403a(15) =124743104a(16) =390491505a(17) =1218875302a(18) =3794984883a(19) =11789335464a(20) =36551285573a(21) =113120066678a(22) =349523991123