Expansion of A(x) satisfying -x = Sum_{n=-oo..+oo} (-x)^n * (1 - (-x)^n)^n / A(x)^n.

Terms

a(0) =1a(1) =1a(2) =2a(3) =3a(4) =10a(5) =29a(6) =72a(7) =190a(8) =520a(9) =1413a(10) =3888a(11) =10839a(12) =30421a(13) =86218a(14) =246499a(15) =708931a(16) =2050584a(17) =5962100a(18) =17407554a(19) =51019081a(20) =150052163a(21) =442677295a(22) =1309668356a(23) =3884884796a(24) =11551622175a(25) =34425468793a(26) =102807253860a(27) =307617338332a(28) =922112808168