How many ±1-sequences of length n are there?For example, (1, −1, −1, 1) is not a...

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How many ±1-sequences of length n are there?For example, (1, −1,−1, 1) is not a happy sequence, because although 1 ≥ 0 and 1 − 1 ≥0,the sum 1−1−1 is negative, so the condition fails for k = 3.

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First of all there are sequences with entries as each entry has 2 choices 1 or 1Now we calculate the number of happy sequences of length n    See Answer
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