Number of partitions of n such that 2*(greatest part) > (number of parts).

Terms

a(0) =1a(1) =1a(2) =2a(3) =4a(4) =5a(5) =8a(6) =11a(7) =16a(8) =23a(9) =32a(10) =43a(11) =59a(12) =78a(13) =104a(14) =137a(15) =181a(16) =233a(17) =303a(18) =388a(19) =497a(20) =630a(21) =799a(22) =1003a(23) =1262a(24) =1574a(25) =1961a(26) =2430a(27) =3008a(28) =3701a(29) =4551