Sum of parts in all partitions of 2n+1 that do not contain 1 as a part.

Terms

a(0) =0a(1) =3a(2) =10a(3) =28a(4) =72a(5) =154a(6) =312a(7) =615a(8) =1122a(9) =1995a(10) =3465a(11) =5819a(12) =9575a(13) =15498a(14) =24563a(15) =38378a(16) =59202a(17) =90055a(18) =135420a(19) =201630a(20) =297045a(21) =433741a(22) =628155a(23) =902212a(24) =1286348a(25) =1821567a(26) =2562126a(27) =3581655a(28) =4977867a(29) =6879400