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

Terms

a(0) =0a(1) =0a(2) =1a(3) =4a(4) =12a(5) =29a(6) =67a(7) =146a(8) =313a(9) =654a(10) =1342a(11) =2691a(12) =5291a(13) =10184a(14) =19237a(15) =35680a(16) =65102a(17) =116967a(18) =207241a(19) =362423a(20) =626265a(21) =1070100a(22) =1809513a(23) =3029902a(24) =5026778a(25) =8267109a(26) =13484325a(27) =21821771a(28) =35051459a(29) =55901678