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A068890
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a(1) = 1; a(n) = smallest nontrivial n-th power with property that digits alternate in parity.
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1
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OFFSET
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1,2
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COMMENTS
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Conjecture: the sequence is finite.
For all n>=1, (n^10 mod 1000) is one of {0, 1, 24, 49, 176, 201, 224, 249, 376, 401, 424, 449, 576, 601, 624, 625, 649, 776, 801, 824, 849, 976}. None of these have digits of alternating parity, thus a(10) does not exist. - Benjamin Chaffin, Nov 24 2021
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LINKS
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CROSSREFS
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KEYWORD
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nonn,base,fini
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AUTHOR
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STATUS
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approved
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