|
| |
|
|
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
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,2
|
|
|
COMMENTS
| The next term is greater than 3*10^8.
|
|
|
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: A041559 A190122 A042713 * A041407 A065564 A191253
Adjacent sequences: A154127 A154128 A154129 * A154131 A154132 A154133
|
|
|
KEYWORD
| nonn
|
|
|
AUTHOR
| Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Jan 11 2009
|
|
|
EXTENSIONS
| Extended by Charles R Greathouse IV (charles.greathouse(AT)case.edu), Nov 03 2009
a(15)-a(16) from Robert Gerbicz (robert.gerbicz(AT)gmail.com), Nov 21 2010
|
| |
|
|
