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

Terms

a(0) =0a(1) =1a(2) =1a(3) =1a(4) =2a(5) =3a(6) =3a(7) =5a(8) =6a(9) =8a(10) =12a(11) =14a(12) =17a(13) =25a(14) =28a(15) =42a(16) =47a(17) =60a(18) =78a(19) =92a(20) =126a(21) =146a(22) =178a(23) =231a(24) =265a(25) =350a(26) =409a(27) =494a(28) =613a(29) =723