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

Terms

a(0) =1a(1) =1a(2) =1a(3) =2a(4) =3a(5) =4a(6) =5a(7) =7a(8) =9a(9) =12a(10) =15a(11) =22a(12) =28a(13) =34a(14) =42a(15) =54a(16) =73a(17) =93a(18) =110a(19) =135a(20) =168a(21) =220a(22) =271a(23) =325a(24) =391a(25) =480a(26) =602a(27) =735a(28) =876a(29) =1051