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

Terms

a(0) =0a(1) =0a(2) =0a(3) =0a(4) =0a(5) =1a(6) =1a(7) =3a(8) =4a(9) =8a(10) =11a(11) =19a(12) =25a(13) =40a(14) =55a(15) =79a(16) =104a(17) =150a(18) =196a(19) =270a(20) =350a(21) =467a(22) =600a(23) =786a(24) =997a(25) =1293a(26) =1632a(27) =2077a(28) =2597a(29) =3283