Number of partitions of 5n such that cn(0,5) < cn(1,5) = cn(4,5) < cn(2,5) = cn(3,5).

Terms

a(0) =0a(1) =0a(2) =1a(3) =5a(4) =18a(5) =51a(6) =131a(7) =309a(8) =694a(9) =1494a(10) =3117a(11) =6320a(12) =12514a(13) =24234a(14) =46016a(15) =85790a(16) =157301a(17) =283982a(18) =505432a(19) =887692a(20) =1539969a(21) =2640920a(22) =4480467a(23) =7524824a(24) =12518126a(25) =20638663a(26) =33739438a(27) =54713975a(28) =88052156a(29) =140676765