a(n) = n*coefficient of x^n in log(1+S), S = g.f. for A000084.

Terms

a(0) =1a(1) =3a(2) =7a(3) =23a(4) =61a(5) =207a(6) =631a(7) =2111a(8) =6901a(9) =23183a(10) =77749a(11) =263807a(12) =896403a(13) =3063147a(14) =10493077a(15) =36060927a(16) =124198397a(17) =428708475a(18) =1482448439a(19) =5134798223a(20) =17811210781a(21) =61864011135a(22) =215127430973a(23) =748898387039