Lemma
MediumPolynomials
#1824 · Algebra · Polynomials

Sum of Multinomial Coefficients

If $(1 + x + x^2 +
otes + x^p)^n = a_0 + a_1x + a_2x^2 +
otes + a_{np}x^{np}a_0 + a_1 + a_2 +
otes + a_{np} = (p + 1)^n$.

~10 minProof · checked by AIbinomial theorempolynomial coefficientsidentities

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. XV. Multinomial Theorem, Examples XV, No. 19 (part 1)

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