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

Terms

a(0) =0a(1) =0a(2) =1a(3) =1a(4) =1a(5) =2a(6) =3a(7) =4a(8) =6a(9) =8a(10) =10a(11) =14a(12) =18a(13) =24a(14) =32a(15) =41a(16) =52a(17) =67a(18) =85a(19) =107a(20) =135a(21) =169a(22) =210a(23) =263a(24) =324a(25) =400a(26) =493a(27) =604a(28) =736a(29) =899