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 A105053 Least number k such that (1+1/k)^k yields n digits of e (A001113). 0
 1, 74, 164, 4822, 16609, 743325, 1640565, 45332594 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS EXAMPLE 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. MATHEMATICA f = 0; f[n_] := f[n] = Block[{k = f[n - 1] + 1, d = FromDigits[{Take[ RealDigits[E, 10, 111][], n], 1}]}, While[(1 + 1/k)^k < d, k++ ]; k]; Table[ f[n], {n, 6}] CROSSREFS Cf. A001113. Sequence in context: A044325 A044706 A217991 * A260171 A044406 A044787 Adjacent sequences:  A105050 A105051 A105052 * A105054 A105055 A105056 KEYWORD nonn,base AUTHOR Robert G. Wilson v, Apr 02 2005 STATUS approved

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Last modified April 1 10:33 EDT 2020. Contains 333159 sequences. (Running on oeis4.)