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

Terms

a(0) =1a(1) =1a(2) =1a(3) =2a(4) =4a(5) =5a(6) =10a(7) =14a(8) =19a(9) =28a(10) =40a(11) =53a(12) =75a(13) =99a(14) =131a(15) =172a(16) =226a(17) =294a(18) =380a(19) =488a(20) =617a(21) =787a(22) =996a(23) =1250a(24) =1565a(25) =1953a(26) =2425a(27) =3003a(28) =3705a(29) =4559