Number of integer partitions of n for which the parts have the same median as the multiplicities.

Terms

a(0) =1a(1) =1a(2) =0a(3) =0a(4) =1a(5) =0a(6) =0a(7) =1a(8) =2a(9) =5a(10) =7a(11) =10a(12) =14a(13) =21a(14) =28a(15) =36a(16) =51a(17) =64a(18) =84a(19) =106a(20) =132a(21) =165a(22) =202a(23) =252a(24) =311a(25) =391a(26) =473a(27) =579a(28) =713a(29) =868