Number of partitions of n such that smaller parts do not occur more frequently than greater parts.

Terms

a(0) =1a(1) =1a(2) =2a(3) =3a(4) =4a(5) =5a(6) =8a(7) =8a(8) =12a(9) =14a(10) =19a(11) =21a(12) =30a(13) =31a(14) =42a(15) =50a(16) =62a(17) =69a(18) =91a(19) =99a(20) =126a(21) =144a(22) =175a(23) =198a(24) =246a(25) =275a(26) =331a(27) =379a(28) =452a(29) =509