G.f. A(x) satisfies 1 = Sum_{n=-oo..+oo} ( x^(2*n-1) + (-A(x))^n )^n.

Terms

a(0) =1a(1) =0a(2) =1a(3) =1a(4) =3a(5) =5a(6) =8a(7) =21a(8) =42a(9) =98a(10) =225a(11) =519a(12) =1225a(13) =2888a(14) =6890a(15) =16502a(16) =39726a(17) =96280a(18) =234271a(19) =572113a(20) =1403155a(21) =3451023a(22) =8513549a(23) =21061621a(24) =52228567a(25) =129828588a(26) =323392155a(27) =807151015a(28) =2018271738a(29) =5055205432