Sylvester's sequence: Difference between revisions
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{{Wikipedia|Sylvester's sequence}} |
{{Wikipedia|Sylvester's sequence}} |
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⚫ | Its values grow doubly exponentially, and the sum of its reciprocals forms a series of unit fractions that converges to 1 more rapidly than any other series of unit fractions with the same number of terms. |
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Further, the sum of the first '''k''' terms of the infinite series of reciprocals provides the closest possible underestimate of '''1''' by any k-term Egyptian fraction. |
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* Show the sum of the reciprocals of the first '''10''' elements on the sequence; |
* Show the sum of the reciprocals of the first '''10''' elements on the sequence; |
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;Related tasks: |
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=={{header|ALGOL 68}}== |
=={{header|ALGOL 68}}== |