# LambertWeCoe.cin

// LambertWeCoe.cin is the part of the C++ code that evaluates the LambertW function in vicinity of $$-1/\mathrm e$$. // The declaration below defines the array of coefficients $$c$$ in the expansion
// $$\displaystyle \mathrm{LambertW}\Big(\frac{-1}{\mathrm e} + \frac{t^2}{2\mathrm e}\Big)=$$ $$\displaystyle \sum_{n=0}^{\infty}\, c_n t_n=$$ $$-1 +t$$ $$\displaystyle -\frac{t^2}{3}$$ $$\displaystyle +\frac{11 t^3}{72}$$ $$\displaystyle -\frac{43 t^4}{540}$$ $$\displaystyle +\frac{769 t^5}{17280}$$ $$\displaystyle - \frac{221 t^6}{8505}$$ $$\displaystyle +\frac{680863 t^7}{43545600}$$ $$\displaystyle -\frac{1963 t^8}{204120}$$ $$\displaystyle +\frac{226287557 t^9}{37623398400}$$ $$\displaystyle -\frac{5776369 t^{10}}{1515591000} +..$$