a(n) is the coefficient of x^n in x/(1 + Sum_{k>=1} (1/2)*(prime(k+1) - 1)*x^k).

Terms

a(0) =1a(1) =-1a(2) =-1a(3) =0a(4) =0a(5) =2a(6) =1a(7) =0a(8) =-2a(9) =-5a(10) =2a(11) =3a(12) =5a(13) =6a(14) =-10a(15) =-12a(16) =-9a(17) =11a(18) =32a(19) =11a(20) =-5a(21) =-55a(22) =-61a(23) =29a(24) =84a(25) =129a(26) =9a(27) =-188a(28) =-232a(29) =-136