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Bell Numbers

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What is the formula for the Bell number B(n)?

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A
B(n) = (1/e) * sum(k! * S(n, k) for k from 0 to n)
💡 Explanation:

The Bell number B(n) can be calculated using the following formula: B(n) = (1/e) * sum(k! * S(n, k) for k from 0 to n), where S(n, k) is the Stirling number of the second kind.

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