

A154130


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


58



1, 4, 13, 17, 128, 485, 692, 1738, 12863, 77042, 109705, 289047, 720429, 4475944, 75629223, 182575231
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OFFSET

1,2


COMMENTS

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


LINKS

Table of n, a(n) for n=1..16.


FORMULA

Recursion: a(1):=1, a(k):=min{ m>1  fract((4/3)^m) < fract((4/3)^a(k1))}, where fract(x) = xfloor(x).


EXAMPLE

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.


CROSSREFS

Cf. A081464, A153669, A153701, A153708, A154138, A154146.
Cf. A002379, A064628.
Sequence in context: A280385 A190122 A042713 * A041407 A252976 A065564
Adjacent sequences: A154127 A154128 A154129 * A154131 A154132 A154133


KEYWORD

nonn


AUTHOR

Hieronymus Fischer, Jan 11 2009


EXTENSIONS

Extended by Charles R Greathouse IV, Nov 03 2009
a(15)a(16) from Robert Gerbicz, Nov 21 2010


STATUS

approved



