

A105053


Least number k such that (1+1/k)^k yields n digits of e (A001113).


0




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



