1. Find the coefficient of $x^{10}$ in the power series. $\left ( 1+x^{2}+x^{4}+x^{6}+x^{8}+.... \right )\left ( 1+x^{4}+x^{8}+x^{12}+.... \right )\left ( 1+x^{6}+x^{12}+x^{18}+.... \right )$ Ans. $\frac{1}{\left ( 1-x^{2} \right )\left ( 1-x^{4} \right )\left ( 1-x^{6} \right )}$........now not able to proceed. 2.Provide a closed formula for the sequence it determines x2+3x+7+(1/(1-x2))

answered
May 18, 2018
in Combinatory
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