a(n) = Sum_{k=0..n} k^2 * A000041(k).

Terms

a(0) =0a(1) =1a(2) =9a(3) =36a(4) =116a(5) =291a(6) =687a(7) =1422a(8) =2830a(9) =5260a(10) =9460a(11) =16236a(12) =27324a(13) =44393a(14) =70853a(15) =110453a(16) =169589a(17) =255422a(18) =380162a(19) =557052a(20) =807852a(21) =1157124a(22) =1642092a(23) =2305987a(24) =3213187a(25) =4436937a(26) =6083673a(27) =8277963a(28) =11192875a(29) =15032040