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

Terms

a(0) =0a(1) =0a(2) =1a(3) =4a(4) =13a(5) =33a(6) =80a(7) =179a(8) =390a(9) =820a(10) =1686a(11) =3379a(12) =6639a(13) =12771a(14) =24125a(15) =44771a(16) =81774a(17) =147112a(18) =261038a(19) =457202a(20) =791249a(21) =1353989a(22) =2292738a(23) =3843988a(24) =6385054a(25) =10512627a(26) =17164661a(27) =27804382a(28) =44701255a(29) =71351803