|
Search: id:A153680
|
|
|
| A153680 |
|
Numbers k such that the fractional part of (1024/1000)^k is greater than 1-(1/k). |
|
+0
12
|
|
| 1, 29, 82, 134, 277, 1306, 2036, 2349, 6393, 9389, 9816, 21689, 34477, 145984, 171954, 956357, 2746739
(list; graph; listen)
|
|
|
OFFSET
|
1,2
|
|
|
COMMENT
|
Numbers k such that fract((1024/1000)^k) > 1-(1/k), where fract(x) = x-floor(x).
The next such number must be greater than 5*10^5.
|
|
EXAMPLE
|
a(2)=29, since fract((1024/1000)^29)=0.98929...>0.9655...=1-(1/29), but fract((1024/1000)^k)<=1-(1/k) for 1<k<29.
|
|
CROSSREFS
|
Cf. A153664, A153672, A153684, A154130, A153688, A153696, A153704, A153712, A153720.
Sequence in context: A144584 A039461 A141930 this_sequence A097722 A156784 A142592
Adjacent sequences: A153677 A153678 A153679 this_sequence A153681 A153682 A153683
|
|
KEYWORD
|
nonn,more
|
|
AUTHOR
|
Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Jan 06 2009
|
|
EXTENSIONS
|
a(16) - a(17) from Hagen von Eitzen (math(AT)von-eitzen.de), May 16 2009
|
|
|
Search completed in 0.002 seconds
|
