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Least integer multiple of f(1/n) where f(1/n) is the number obtained by retaining only n digits after decimal and deleting the rest.
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%I #8 Dec 06 2013 09:37:48

%S 1,1,333,1,1,83333,1428571,1,111111111,1,909090909,83333333333,

%T 76923076923,7142857142857,33333333333333,1,588235294117647,

%U 11111111111111111,52631578947368421,1,47619047619047619047,227272727272727272727,434782608695652173913,20833333333333333333333,1,3846153846153846153846153

%N Least integer multiple of f(1/n) where f(1/n) is the number obtained by retaining only n digits after decimal and deleting the rest.

%F a(n) = floor(10^n/n) / gcd(10^n,floor(10^n/n)). - _Max Alekseyev_, Dec 06 2013

%e a(6) = 83333, 1/6 = 0.16666666666666666... f(1/6) = .166666. and the least integer multiple of .166666 is 83333.

%o (PARI) A095199(n) = my(t); t=10^n\n; t/gcd(t,10^n) /* Alekseyev */

%K base,nonn

%O 1,3

%A _Amarnath Murthy_, Jun 05 2004

%E More terms from _Max Alekseyev_, Apr 22 2010