|
Search: id:A153670
|
|
|
| A153670 |
|
Numbers k such that the fractional part of (101/100)^k is less than 1/k. |
|
+0 15
|
|
| 1, 2, 3, 4, 5, 6, 7, 8, 9, 70, 209, 241, 378, 2697, 4806, 173389, 529938
(list; graph; listen)
|
|
|
OFFSET
|
1,2
|
|
|
COMMENT
|
Numbers k such that fract((101/100)^k) < 1/k, where fract(x) = x-floor(x).
The next such number must be greater than 10^6.
|
|
EXAMPLE
|
a(10)=70 since fract((101/100)^70)=0.006...<1/10, but fract((101/100)^k)>0.1>=1/k for 10<=k<=69.
|
|
CROSSREFS
|
Cf. A153662, A154130, A153674, A153678, A153686, A153694, A153702, A153710, A153718.
Sequence in context: A024661 A004860 A024662 this_sequence A024663 A038178 A023106
Adjacent sequences: A153667 A153668 A153669 this_sequence A153671 A153672 A153673
|
|
KEYWORD
|
nonn,more
|
|
AUTHOR
|
Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Jan 06 2009
|
|
|
Search completed in 0.002 seconds
|