Consider the functional equation
(f*z + z * L(z,f)^2 + z * L(z,f+1) - L(z,f) == 0)
This defines implicitly a bivariate function L(z,f). My goal is to find the
Taylor development of L(z,0). I know from
Bernhard Gittenberger Enumeration of generalized BCI λ terms - AofA'11
that the result is
z^2 + 2z^3 + 4z^4 + 13z^5 + 42z^6 + 139z^7 + 506z^8 +1915z^9 + 7558z^10 + · · ·
How do I do that in SAGE?
Thank you in advance.
Pierre
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