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A105053
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Least number k such that (1+1/k)^k yields n digits of e (A001113).
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0
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OFFSET
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1,2
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LINKS
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EXAMPLE
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a(1) = 1 because (1+1/1)^1= 2 which equals e in the units place.
a(2) = 74 because (1+1/73)^73 = 2.69989... but (1+1/74)^74 = 2.700139...; thus 74 is the least number which will give e to 2 place accuracy, namely 2.7.
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MATHEMATICA
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f[0] = 0; f[n_] := f[n] = Block[{k = f[n - 1] + 1, d = FromDigits[{Take[ RealDigits[E, 10, 111][[1]], n], 1}]}, While[(1 + 1/k)^k < d, k++ ]; k]; Table[ f[n], {n, 6}]
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CROSSREFS
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KEYWORD
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nonn,base
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AUTHOR
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STATUS
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approved
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