Sum of the middle parts of the partitions of k into 3 parts for all 0 <= k <= n.

Terms

a(0) =0a(1) =0a(2) =0a(3) =1a(4) =2a(5) =5a(6) =10a(7) =18a(8) =29a(9) =47a(10) =69a(11) =100a(12) =140a(13) =191a(14) =253a(15) =333a(16) =426a(17) =540a(18) =675a(19) =834a(20) =1017a(21) =1234a(22) =1478a(23) =1760a(24) =2080a(25) =2442a(26) =2846a(27) =3305a(28) =3810a(29) =4375