a(n) is the number of smallest parts in the overpartitions of n having even smallest part.

Terms

a(0) =0a(1) =2a(2) =0a(3) =6a(4) =4a(5) =12a(6) =12a(7) =30a(8) =36a(9) =60a(10) =80a(11) =132a(12) =180a(13) =264a(14) =360a(15) =522a(16) =712a(17) =990a(18) =1344a(19) =1844a(20) =2472a(21) =3324a(22) =4420a(23) =5892a(24) =7764a(25) =10212a(26) =13344a(27) =17400a(28) =22556a(29) =29160