a(n) = floor(n^(n/3)/n!!!).

Terms

a(0) =1a(1) =0a(2) =1a(3) =1a(4) =1a(5) =2a(6) =3a(7) =3a(8) =4a(9) =7a(10) =7a(11) =10a(12) =18a(13) =18a(14) =26a(15) =45a(16) =44a(17) =64a(18) =113a(19) =112a(20) =163a(21) =287a(22) =285a(23) =416a(24) =733a(25) =731a(26) =1067a(27) =1885a(28) =1885a(29) =2755