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

Terms

a(0) =1a(1) =1a(2) =1a(3) =3a(4) =4a(5) =6a(6) =9a(7) =11a(8) =17a(9) =26a(10) =32a(11) =46a(12) =60a(13) =78a(14) =111a(15) =138a(16) =183a(17) =236a(18) =297a(19) =399a(20) =489a(21) =630a(22) =794a(23) =978a(24) =1262a(25) =1541a(26) =1923a(27) =2392a(28) =2907a(29) =3638