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A122417
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Factorials from an irrationality measure for e, with a(1) = 2.
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4
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2, 6, 24, 120, 720, 24, 40320, 120, 5040, 720, 479001600, 120, 87178291200, 40320, 720, 5040, 6402373705728000, 5040, 2432902008176640000, 720, 40320, 479001600, 620448401733239439360000, 120, 39916800, 87178291200, 3628800, 40320
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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)! = 24.
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MATHEMATICA
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nmax = 28;
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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