|
Search: id:A069818
|
|
|
| A069818 |
|
Let x = 1.757739951145463... be smallest real number that satisfies gcd(floor(x^m),m)=1 for all integers m>0; sequence gives floor(x^n). |
|
+0
1
|
|
| 1, 3, 5, 9, 16, 29, 51, 91, 160, 281, 494, 869, 1529, 2687, 4724, 8303, 14595, 25655, 45095, 79267, 139330, 244907, 430483, 756677, 1330042, 2337869, 4109366, 7223197, 12696502, 22317149, 39227744, 68952173, 121199990, 213038065
(list; graph; listen)
|
|
|
OFFSET
|
1,2
|
|
|
COMMENT
|
If some z satisfies the condition gcd(floor(z^n),n)=1, then all positive powers of z also satisfy the condition. There are an infinite number of reals satisfying this condition; the value given here is the smallest such solution.
|
|
FORMULA
|
Floor(x^n), x=1.757739951145463 approximately.
|
|
EXAMPLE
|
gcd(floor(x^10),10) = gcd(281,10) = 1; the floor of even powers of x is always odd.
|
|
CROSSREFS
|
Sequence in context: A129973 A018159 A094980 this_sequence A054180 A135575 A143106
Adjacent sequences: A069815 A069816 A069817 this_sequence A069819 A069820 A069821
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Paul D. Hanna (pauldhanna(AT)juno.com), Apr 29 2002
|
|
|
Search completed in 0.002 seconds
|
