pow:problem5s26
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| pow:problem5s26 [2026/04/13 01:46] – created mazur | pow:problem5s26 [2026/05/04 16:14] (current) – mazur | ||
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| + | <box 85% round orange| | ||
| + | Prove that | ||
| + | \[\sum_{k=0}^{n}{3n\choose 3k }=\frac{2}{3}\left( 2^{3n-1}+(-1)^n\right). | ||
| + | \] | ||
| + | </ | ||
| + | The problem was solved by Levi Axelrod and Gerald Marchesi. Their solutions are similar to our in-house | ||
| + | solution, which you can see in the following link {{: | ||