Number of integer partitions of n whose sequence of frequencies is strictly increasing.

Terms

a(0) =1a(1) =1a(2) =2a(3) =2a(4) =4a(5) =4a(6) =7a(7) =8a(8) =11a(9) =13a(10) =18a(11) =20a(12) =27a(13) =32a(14) =40a(15) =44a(16) =60a(17) =67a(18) =82a(19) =93a(20) =114a(21) =129a(22) =161a(23) =175a(24) =209a(25) =239a(26) =285a(27) =315a(28) =372a(29) =416