|
| |
|
|
A051016
|
|
Numbers n for which r^n-floor(r^n) < 1/2, where r is the real root of x^3-x-1.
|
|
6
| |
|
|
1, 3, 4, 5, 6, 7, 8, 11, 12, 14, 17, 19, 22, 24, 25, 27, 29, 30, 32, 35, 37, 38, 40, 42, 43, 45, 48, 50, 53, 55, 56, 58, 60, 61, 63, 66, 68, 71, 73, 74, 76, 78, 79, 81, 84, 86, 89, 91, 92, 94, 97, 99, 102, 104, 105, 107, 109, 110, 112, 115, 117, 120, 122, 123, 125, 127
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,2
|
|
|
COMMENTS
| For large powers, r^n is very close to an integer.
|
|
|
LINKS
| Eric Weisstein's World of Mathematics, Pisot Number
|
|
|
MATHEMATICA
| Flatten[ With[ {r = Root[ -1 - #1 + #1^3 &, 1 ]}, Position[ Table[ r^n - Floor[ r^n ], {n, 1, 200} ], _?(#1 < 1/2 & ), 1 ] ] ]
|
|
|
CROSSREFS
| Cf. A051017.
Sequence in context: A001272 A047563 A120561 * A044951 A138308 A039084
Adjacent sequences: A051013 A051014 A051015 * A051017 A051018 A051019
|
|
|
KEYWORD
| nonn
|
|
|
AUTHOR
| Eric Weisstein (eric(AT)weisstein.com)
|
|
|
EXTENSIONS
| Corrected by Don Reble (djr(AT)nk.ca), May 04 2006
|
| |
|
|
