G.f.: A(x) = exp( 6*Sum_{n>=1} A006519(n)*A038500(n) * x^n/n ).

Terms

a(0) =1a(1) =6a(2) =24a(3) =78a(4) =222a(5) =570a(6) =1356a(7) =3030a(8) =6432a(9) =13074a(10) =25608a(11) =48558a(12) =89502a(13) =160854a(14) =282624a(15) =486534a(16) =822174a(17) =1365978a(18) =2234400a(19) =3602742a(20) =5732202a(21) =9008034a(22) =13993320a(23) =21503730a(24) =32711460a(25) =49287750a(26) =73598280a(27) =108968334a(28) =160041750a(29) =233262786