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Numbers n such that frac(x^n) is different from frac(x^i*frac(x^(n-i))) for any 1<=i<=n-1, where x=3/2 and frac(x) denotes the fractional part of x.
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%I #6 Mar 30 2012 18:39:21

%S 1,2,4,5,6,7,8,9,11,13,15,16,23,26,31,33,34,35,36,39,43,53,54,60,63,

%T 64,65,66,70,72,75,84,90,91,94,97,98,99,105,108,115,117,118,119,120,

%U 121,123,129,130,131,132,134,138,144,145,148,149,150,153,154,156,160,161

%N Numbers n such that frac(x^n) is different from frac(x^i*frac(x^(n-i))) for any 1<=i<=n-1, where x=3/2 and frac(x) denotes the fractional part of x.

%F Is a(n) asymptotic to 2*n?

%K nonn

%O 1,2

%A _Benoit Cloitre_, Nov 07 2003