Expansion of Product_{k>=1} (1 + ((1 - sqrt(1 - 4*x))/2)^k).

Terms

a(0) =1a(1) =1a(2) =2a(3) =6a(4) =18a(5) =57a(6) =187a(7) =629a(8) =2156a(9) =7502a(10) =26427a(11) =94053a(12) =337653a(13) =1221260a(14) =4445892a(15) =16277089a(16) =59893052a(17) =221370725a(18) =821499759a(19) =3059620076a(20) =11432831745a(21) =42848889316a(22) =161032785057a(23) =606710026659