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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

Table of n, a(n) for n=1..8.

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] = 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}]

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.)