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A355630
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a(n) is the largest integer that can be written as Product_{i = 1..n} (3 + 1/t_i) with integers t_i >= 2.
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6
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11, 37, 121, 413, 1442, 5047, 16807, 58457, 204085, 709667, 2483663, 8068753, 30415033
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OFFSET
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2,1
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COMMENTS
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Obviously 3^n < a(n) < 3.5^n.
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LINKS
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EXAMPLE
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11 = (3 + 1/2) * (3 + 1/7) is the largest integer p that can be written as p = (3 + 1/t_1) * (3 + 1/t_2) with integers t_1,t_2 >= 2 because any such integer p is smaller than 3.5^2 = 12.25 and there is no such representation for p = 12. Hence, a(2) = 11.
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PROG
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CROSSREFS
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KEYWORD
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more,nonn
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AUTHOR
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STATUS
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approved
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