#1825 · Algebra · Polynomials
Weighted Sum of Coefficients
If $(1 + x + x^2 +
otes + x^p)^n = a_0 + a_1x + a_2x^2 +
otes + a_{np}x^{np}a_1 + 2a_2 + 3a_3 +
otes + np a_{np} = rac{1}{2} np (p + 1)^n$.
H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. XV. Multinomial Theorem, Examples XV, No. 19 (part 2)
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