a(n) is the sum, over all overpartitions of n, of the non-overlined parts.

Terms

a(0) =1a(1) =5a(2) =14a(3) =35a(4) =74a(5) =150a(6) =280a(7) =505a(8) =875a(9) =1470a(10) =2402a(11) =3850a(12) =6034a(13) =9300a(14) =14120a(15) =21131a(16) =31220a(17) =45619a(18) =65930a(19) =94374a(20) =133892a(21) =188350a(22) =262904a(23) =364350a(24) =501459a(25) =685762a(26) =932200a(27) =1259944a(28) =1693750a(29) =2265380