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

Terms

a(0) =1a(1) =3a(2) =10a(3) =21a(4) =46a(5) =90a(6) =168a(7) =295a(8) =511a(9) =850a(10) =1382a(11) =2198a(12) =3430a(13) =5260a(14) =7960a(15) =11861a(16) =17468a(17) =25445a(18) =36670a(19) =52346a(20) =74092a(21) =103986a(22) =144840a(23) =200322a(24) =275191a(25) =375662a(26) =509816a(27) =687960a(28) =923442a(29) =1233340