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A116487 First digit after decimal point in decimal representation of (1+1/n)^n. 0

%I

%S 0,2,3,4,4,5,5,5,5,5,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,

%T 6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,

%U 6,6,6,6,6,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7

%N First digit after decimal point in decimal representation of (1+1/n)^n.

%C a(n) = 7 for n > 73.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/e.html">e</a>

%F a(n) = floor(10*(1+1/n)^n) mod 10.

%e (1 + 1/10)^10 = 2.593742..., therefore a(10) = 5.

%Y Cf. A001113.

%K nonn,base

%O 1,2

%A _Reinhard Zumkeller_, Mar 20 2006

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Last modified March 25 00:50 EDT 2023. Contains 361511 sequences. (Running on oeis4.)