Expansion of Product_{k>=1} (1 - (x*(1 - x))^k).

Terms

a(0) =1a(1) =-1a(2) =0a(3) =2a(4) =-1a(5) =1a(6) =-5a(7) =11a(8) =-17a(9) =26a(10) =-36a(11) =35a(12) =-22a(13) =19a(14) =-67a(15) =219a(16) =-480a(17) =687a(18) =-469a(19) =-573a(20) =2508a(21) =-4785a(22) =6370a(23) =-6445a(24) =5235a(25) =-4543a(26) =8681a(27) =-26815a(28) =75043a(29) =-173159