Sum of the third largest parts of the partitions of 4n into 4 parts.

Terms

a(0) =1a(1) =7a(2) =29a(3) =86a(4) =198a(5) =396a(6) =719a(7) =1203a(8) =1899a(9) =2866a(10) =4156a(11) =5840a(12) =7997a(13) =10695a(14) =14025a(15) =18086a(16) =22962a(17) =28764a(18) =35611a(19) =43603a(20) =52871a(21) =63554a(22) =75768a(23) =89664a(24) =105401a(25) =123111a(26) =142965a(27) =165142a(28) =189790a(29) =217100