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Search: id:A144504
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| A144504 |
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3-transposable numbers. |
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+0
1
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| 142857, 285714, 142857142857, 285714285714, 142857142857142857, 285714285714285714, 142857142857142857142857, 285714285714285714285714, 142857142857142857142857142857
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OFFSET
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1,1
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COMMENT
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A positive integer x is called k-transposable if when the leftmost digit is moved into the units place, the result is equal to kx.
A number is 1-transposable iff its digits are all the same.
Kahan shows that if k>1 then k must be 3 and the only solutions are concatenations of copies of either 142857 or 285714, as given in this sequence, which therefore lists all k-transposable numbers with k>1.
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REFERENCES
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S. Kahan, k-transposable integers, Math. Mag., 49 (1976), 27-28.
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LINKS
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N. J. A. Sloane, Table of n, a(n) for n = 1..20
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CROSSREFS
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Sequence in context: A023089 A166320 A101202 this_sequence A146754 A004042 A145742
Adjacent sequences: A144501 A144502 A144503 this_sequence A144505 A144506 A144507
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KEYWORD
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nonn,base
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Dec 14 2008
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