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A168070
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Numbers n with property that n, n^2, n^3, and n^4 have the same set of digits (not counting repetitions).
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1
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0, 1, 10, 100, 1000, 10000, 100000, 1000000, 10000000, 71624305, 100000000, 103849576, 105823694, 106597243, 108326947, 120463578, 124093657, 126509743, 129306745, 129738560, 139784256, 140786329, 147863502, 148936025, 150973624
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OFFSET
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1,3
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COMMENTS
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If n is here then also 10*n is. But not vice versa: if the term n is multiple of 10 then not necessarily n/10 is the term; e.g., 129738560, 172836950, 175438290 are terms but 12973856, 17283695, 17543829 not.
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LINKS
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PROG
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(PARI) isok(n) = s1 = Set(digits(n)); (s1 == Set(digits(n^2))) && (s1 == Set(digits(n^3))) && (s1 == Set(digits(n^4))); \\ Michel Marcus, Oct 15 2013
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CROSSREFS
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KEYWORD
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base,nonn
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AUTHOR
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STATUS
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approved
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