a(0) = 1; a(n) = -Sum_{k=1..n} prime(k+1) * a(n-k).

Terms

a(0) =1a(1) =-3a(2) =4a(3) =-4a(4) =2a(5) =6a(6) =-22a(7) =46a(8) =-74a(9) =86a(10) =-40a(11) =-120a(12) =450a(13) =-958a(14) =1506a(15) =-1694a(16) =744a(17) =2500a(18) =-9184a(19) =19422a(20) =-30450a(21) =34032a(22) =-14178a(23) =-52286a(24) =188038a(25) =-394724a(26) =615102a(27) =-681110a(28) =268666a(29) =1089974