|
Search: id:A154130
|
|
|
| A154130 |
|
Exponents m with decreasing fractional part of (4/3)^m. |
|
+0
59
|
|
| 1, 4, 13, 17, 128, 485, 692, 1738, 12863, 77042, 109705, 289047, 720429, 4475944
(list; graph; listen)
|
|
|
OFFSET
|
1,2
|
|
|
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. A153661, A153669, A153701, A153708, A154138, A154146.
Cf. A002379, A064628.
Sequence in context: A022132 A041559 A042713 this_sequence A041407 A065564 A075327
Adjacent sequences: A154127 A154128 A154129 this_sequence 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
|
|
|
Search completed in 0.002 seconds
|
