Sum of all distinct multiplicities in the partitions of 2n into n parts.

Terms

a(0) =0a(1) =1a(2) =3a(3) =7a(4) =16a(5) =28a(6) =54a(7) =90a(8) =151a(9) =235a(10) =366a(11) =554a(12) =818a(13) =1191a(14) =1707a(15) =2395a(16) =3363a(17) =4638a(18) =6329a(19) =8585a(20) =11526a(21) =15338a(22) =20348a(23) =26750a(24) =34946a(25) =45414a(26) =58751a(27) =75503a(28) =96713a(29) =123252