Difference between two partition g.f.s.

Terms

a(0) =0a(1) =0a(2) =0a(3) =0a(4) =0a(5) =5a(6) =20a(7) =69a(8) =200a(9) =521a(10) =1294a(11) =3126a(12) =7364a(13) =17309a(14) =40577a(15) =95460a(16) =224971a(17) =531368a(18) =1252664a(19) =2943095a(20) =6870029a(21) =15911618a(22) =36507381a(23) =82930347a(24) =186414619a(25) =414654766a(26) =912766795a(27) =1989007381a(28) =4292038414a(29) =9175624264