Number of integer partitions of n whose run-sums are not weakly increasing.

Terms

a(0) =0a(1) =0a(2) =0a(3) =1a(4) =1a(5) =4a(6) =5a(7) =10a(8) =13a(9) =22a(10) =31a(11) =45a(12) =57a(13) =85a(14) =115a(15) =155a(16) =199a(17) =267a(18) =344a(19) =452a(20) =577a(21) =744a(22) =940a(23) =1191a(24) =1486a(25) =1877a(26) =2339a(27) =2910a(28) =3595a(29) =4442