Number of integer partitions of n whose multiplicities have integer median.

Terms

a(0) =1a(1) =2a(2) =3a(3) =4a(4) =5a(5) =9a(6) =10a(7) =16a(8) =22a(9) =34a(10) =42a(11) =65a(12) =80a(13) =115a(14) =145a(15) =195a(16) =240a(17) =324a(18) =396a(19) =519a(20) =635a(21) =814a(22) =994a(23) =1270a(24) =1549a(25) =1952a(26) =2378a(27) =2997a(28) =3623a(29) =4521