Number of integer partitions of n with integer mean and integer median.

Terms

a(0) =1a(1) =2a(2) =2a(3) =4a(4) =2a(5) =8a(6) =2a(7) =10a(8) =9a(9) =14a(10) =2a(11) =39a(12) =2a(13) =24a(14) =51a(15) =49a(16) =2a(17) =109a(18) =2a(19) =170a(20) =144a(21) =69a(22) =2a(23) =455a(24) =194a(25) =116a(26) =381a(27) =668a(28) =2a(29) =1378