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A122416
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Numbers from an irrationality measure for e, with a(1) = 2.
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4
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2, 3, 4, 5, 6, 4, 8, 5, 7, 6, 12, 5, 14, 8, 6, 7, 18, 7, 20, 6, 8, 12, 24, 5, 11, 14, 10, 8, 30, 6, 32, 9, 12, 18, 8, 7, 38, 20, 14, 6, 42, 8, 44, 12, 7, 24, 48, 7, 15, 11, 18, 14, 54, 10, 12, 8, 20, 30, 60, 6, 62, 32, 8, 9, 14, 12, 68, 18, 24, 8, 72, 7, 74, 38, 11, 20, 12, 14, 80, 7, 10
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OFFSET
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1,1
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COMMENTS
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If n > 1, then a(n)! is the smallest factorial such that |e - m/n| > 1/a(n)! for any integer m.
a(n)! is the second smallest factorial divisible by n.
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LINKS
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FORMULA
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EXAMPLE
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a(6) = S(6) + 1 = 3 + 1 = 4.
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MATHEMATICA
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nmax = 100; Do[m=1; While[!IntegerQ[m!/n], m++]; a[n] = m+1, {n, 1, nmax}];
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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