Product_{n>=1} 1 / (1 - a(n)*x^n) = 1 + Sum_{n>=1} prime(n+1)*x^n.

Terms

a(0) =3a(1) =-4a(2) =-8a(3) =-26a(4) =-52a(5) =-126a(6) =-320a(7) =-1214a(8) =-2016a(9) =-7068a(10) =-16064a(11) =-48142a(12) =-122552a(13) =-390574a(14) =-903176a(15) =-3549556a(16) =-7597004a(17) =-22902332a(18) =-61172890a(19) =-198872948a(20) =-486889660a(21) =-1555059566a(22) =-4093173788a(23) =-12448334478a(24) =-33815484714a(25) =-105268420776a(26) =-279683446078a(27) =-894795490384