Number of series-reduced locally non-intersecting aperiodic rooted trees with n nodes.

Terms

a(0) =1a(1) =1a(2) =0a(3) =1a(4) =1a(5) =3a(6) =3a(7) =9a(8) =12a(9) =27a(10) =42a(11) =91a(12) =151a(13) =312a(14) =550a(15) =1099a(16) =2026a(17) =3999a(18) =7527a(19) =14804a(20) =28336a(21) =55641a(22) =107737a(23) =211851a(24) =413508a(25) =814971a(26) =1600512a(27) =3162761a(28) =6241234