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Search: id:A051017
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| A051017 |
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Numbers n for which r^n-floor(r^n) > 1/2, where r is the real root of x^3-x-1. |
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+0
4
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| 2, 9, 10, 13, 15, 16, 18, 20, 21, 23, 26, 28, 31, 33, 34, 36, 39, 41, 44, 46, 47, 49, 51, 52, 54, 57, 59, 62, 64, 65, 67, 69, 70, 72, 75, 77, 80, 82, 83, 85, 87, 88, 90, 93, 95, 96, 98, 100, 101, 103, 106, 108, 111, 113, 114, 116, 118, 119, 121, 124, 126, 129, 131
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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For large powers, r^n is very close to an integer.
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LINKS
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Eric Weisstein's World of Mathematics, Pisot Number
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MATHEMATICA
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Flatten[ With[ {r = Root[ -1 - #1 + #1^3 &, 1 ]}, Position[ Table[ r^n - Floor[ r^n ], {n, 1, 200} ], _?(#1 > 1/2 & ), 1 ] ] ]
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CROSSREFS
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Cf. A051016.
Sequence in context: A037457 A037314 A031443 this_sequence A078180 A058890 A047468
Adjacent sequences: A051014 A051015 A051016 this_sequence A051018 A051019 A051020
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KEYWORD
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nonn
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AUTHOR
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Eric Weisstein (eric(AT)weisstein.com)
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EXTENSIONS
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Corrected by Don Reble (djr(AT)nk.ca), May 04 2006
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