Sum of products of terms in all partitions of n into odd parts.

Terms

a(0) =1a(1) =1a(2) =1a(3) =4a(4) =4a(5) =9a(6) =18a(7) =25a(8) =40a(9) =76a(10) =122a(11) =178a(12) =321a(13) =472a(14) =734a(15) =1303a(16) =1874a(17) =2852a(18) =4782a(19) =6984a(20) =10808a(21) =17552a(22) =25461a(23) =38512a(24) =61586a(25) =90894a(26) =135437a(27) =213260a(28) =312180a(29) =463340