Expansion of g.f. A(x) satisfying 1/x = Sum_{n=-oo..+oo} x^n * (x^(2*n) - (-1)^n*A(x))^(n+1).

Terms

a(0) =1a(1) =1a(2) =2a(3) =5a(4) =10a(5) =21a(6) =51a(7) =121a(8) =282a(9) =688a(10) =1704a(11) =4212a(12) =10528a(13) =26626a(14) =67630a(15) =172590a(16) =443156a(17) =1143034a(18) =2958829a(19) =7687875a(20) =20043717a(21) =52410511a(22) =137417383a(23) =361225349a(24) =951755240a(25) =2513057208a(26) =6648904064a(27) =17624116631a(28) =46796906873a(29) =124460500129