Sum of $$r^34$ Times Binomial Coefficient
## Formula
$$\sum_{r=0}^{n}r^3{}^nC_r=n^2(n+3)2^{n-3}$$
## Usage
- Used to evaluate weighted binomial sums involving the cube of the index.
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CAT Formulas
Binomial Theorem
Sum of $$r^34$ Times Binomial Coefficient
Sum of $$r^34$ Times Binomial Coefficient
## Formula
$$\sum_{r=0}^{n}r^3{}^nC_r=n^2(n+3)2^{n-3}$$
## Usage
- Used to evaluate weighted binomial sums involving the cube of the index.
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