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A258231
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Numbers n such that both n and n squared contain exactly the same digits, and n is not divisible by 10.
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1
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1, 4762, 4832, 10376, 10493, 11205, 12385, 14829, 23506, 24605, 26394, 34196, 36215, 48302, 49827, 68474, 71205, 72576, 74528, 79286, 79603, 79836, 94583, 94867, 96123, 98376, 100469, 100496, 100498, 100499, 100946, 102245, 102953, 103265, 103479, 103756
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OFFSET
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1,2
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COMMENTS
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If n is in this sequence, then n*10^k also satisfies the first portion of the definition for all k >= 0.
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LINKS
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EXAMPLE
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4832 is a term because 4832 squared = 23348224 which contains exactly the same digits as 4832.
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MATHEMATICA
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Select[Select[Range[200000], ContainsExactly[IntegerDigits[ #], IntegerDigits[ #^2]]&], !Divisible[#, 10]&]
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PROG
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(Python)
A258231_list = [n for n in range(10**6) if n % 10 and set(str(n)) == set(str(n**2))] # Chai Wah Wu, Apr 23 2016
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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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