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A144504
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3-transposable numbers.
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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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COMMENTS
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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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LINKS
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CROSSREFS
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KEYWORD
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nonn,base
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AUTHOR
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STATUS
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approved
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