Maclaurin series of $\ln(1-x+x^2)$

Question

Is there a closed form expression for $\text{n}^{\text{th}}$ coefficient of Maclaurin series of
$$\ln(1-x+x^2)$$

Raymond Manzoni · Accepted Answer · 2012-04-14 09:04:12Z

up vote 6 down vote accepted

Hint: $\ln(1-x+x^2)=\ln\left(\dfrac{1+x^3}{1+x}\right)$

Use (two times!) the expansion of $\ln(1+t)$ to conclude!

Hoping this helped,

answered Apr 14 '12 at 9:04

Raymond Manzoni
15.4k22043

	I want to say a "Big Thanks" to you for this hint! – Martin Gales Apr 16 '12 at 5:47
	@MartinGales: Glad it helped! – Raymond Manzoni Apr 16 '12 at 19:51

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