Total number of parts in all partitions of n with designated summands.

Terms

a(0) =0a(1) =1a(2) =5a(3) =12a(4) =29a(5) =54a(6) =111a(7) =189a(8) =344a(9) =563a(10) =946a(11) =1483a(12) =2382a(13) =3611a(14) =5567a(15) =8256a(16) =12335a(17) =17891a(18) =26117a(19) =37187a(20) =53161a(21) =74572a(22) =104738a(23) =144878a(24) =200557a(25) =273995a(26) =374314a(27) =505937a(28) =683192a(29) =914245