Number of aperiodic toroidal necklaces of positive integers summing to n.

Terms

a(0) =1a(1) =1a(2) =1a(3) =3a(4) =5a(5) =12a(6) =18a(7) =42a(8) =72a(9) =145a(10) =262a(11) =522a(12) =960a(13) =1879a(14) =3531a(15) =6831a(16) =13013a(17) =25148a(18) =48177a(19) =93186a(20) =179507a(21) =347509a(22) =671955a(23) =1303257a(24) =2527162a(25) =4910681a(26) =9545176a(27) =18579471a(28) =36183505a(29) =70540861