#1410 · Algebra · Sequences & series

Coefficient of x to the p

If $x^{p}$ occurs in the expansion of $(x^{2} + \frac{1}{x})^{2 n}$ , prove that its coefficient is $\frac{( 2 n )!}{( \frac{4 n - p}{3} ) ! ( \frac{2 n + p}{3} ) !}$ .

~10 minProof · checked by AIbinomial theoremproof

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. XIII. Binomial Theorem: Positive Integral Index, Examples XIII.a, No. 35

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