Number of partitions of n in which the sequence of frequencies of the summands is nondecreasing.

Terms

a(0) =1a(1) =1a(2) =2a(3) =3a(4) =5a(5) =6a(6) =11a(7) =13a(8) =19a(9) =26a(10) =36a(11) =43a(12) =64a(13) =77a(14) =102a(15) =129a(16) =169a(17) =205a(18) =268a(19) =323a(20) =413a(21) =504a(22) =629a(23) =751a(24) =947a(25) =1131a(26) =1384a(27) =1661a(28) =2024a(29) =2393