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

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

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(k-1))}, where fract(x) = x-floor(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