Number of integer partitions of n whose differences are an aperiodic word.

Terms

a(0) =1a(1) =1a(2) =2a(3) =2a(4) =4a(5) =6a(6) =8a(7) =14a(8) =20a(9) =25a(10) =39a(11) =54a(12) =69a(13) =99a(14) =130a(15) =167a(16) =224a(17) =292a(18) =373a(19) =483a(20) =620a(21) =773a(22) =993a(23) =1246a(24) =1554a(25) =1946a(26) =2421a(27) =2987a(28) =3700a(29) =4548