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A114942
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a(n) is the largest base-4 string such that the n-th number coprime to 4 does not divide any substring of a(n).
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1
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22, 3232, 312311, 33233233, 3332113312, 332121111132, 23221212122321, 3332312213121123, 333333312213223231, 33121121231232213233, 3332312112213222213313, 333333332322313223212311
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