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A154130 Exponents m with decreasing fractional part of (4/3)^m. 58

%I #9 Mar 31 2012 13:21:05

%S 1,4,13,17,128,485,692,1738,12863,77042,109705,289047,720429,4475944,

%T 75629223,182575231

%N Exponents m with decreasing fractional part of (4/3)^m.

%C The next term is greater than 3*10^8.

%F Recursion: a(1):=1, a(k):=min{ m>1 | fract((4/3)^m) < fract((4/3)^a(k-1))}, where fract(x) = x-floor(x).

%e a(3)=13, since fract((4/3)^13)=0.0923.., but fract((4/3)^k)>=0.16... for 1<=k<=12; thus fract((4/3)^13)<fract((4/3)^k) for 1<=k<13.

%Y Cf. A081464, A153669, A153701, A153708, A154138, A154146.

%Y Cf. A002379, A064628.

%K nonn

%O 1,2

%A _Hieronymus Fischer_, Jan 11 2009

%E Extended by _Charles R Greathouse IV_, Nov 03 2009

%E a(15)-a(16) from _Robert Gerbicz_, Nov 21 2010

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Last modified April 18 03:33 EDT 2024. Contains 371767 sequences. (Running on oeis4.)