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Suppose det ⎡⎢⎢⎢⎢⎣n∑k=0kn∑k=0nCk k2n∑k=0nCk kn∑k=0nCk 3k⎤⎥⎥⎥⎥⎦=0 hold for some positive integer n. Then n∑k=0nCkk+1 equals |
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Answer» Suppose det ⎡⎢ ⎢ ⎢ ⎢⎣n∑k=0kn∑k=0nCk k2n∑k=0nCk kn∑k=0nCk 3k⎤⎥ ⎥ ⎥ ⎥⎦=0 hold for some positive integer n. Then n∑k=0nCkk+1 equals |
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