Number of partitions satisfying cn(1,5) < cn(2,5) + cn(3,5) and cn(4,5) < cn(2,5) + cn(3,5).

Terms

a(0) =0a(1) =1a(2) =1a(3) =1a(4) =2a(5) =3a(6) =5a(7) =7a(8) =9a(9) =15a(10) =18a(11) =25a(12) =33a(13) =47a(14) =66a(15) =81a(16) =102a(17) =135a(18) =180a(19) =240a(20) =291a(21) =363a(22) =462a(23) =599a(24) =761a(25) =929a(26) =1138a(27) =1421a(28) =1780a(29) =2214