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Search: id:A072841
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| A072841 |
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Integer digits of n^2 are exactly the same (albeit in different order) as the integer digits of (n+1)^2. |
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+0
2
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| 13, 157, 913, 4513, 14647, 19201, 19291, 19813, 20191, 27778, 31828, 34825, 37471, 39586, 40297, 50386, 53536, 53842, 54913, 62986, 64021, 70267, 76513, 78241, 82597, 89356, 98347
(list; graph; listen)
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OFFSET
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0,1
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REFERENCES
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Boris A. Kordemsky, The Moscow Puzzles, p. 165 (1972).
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EXAMPLE
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913 is included because 913^2 = 833569, 914^2 = 835396; and both 833569 and 835396 contain exactly the same integer digits.
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MATHEMATICA
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okQ[n_] := Module[{idn = IntegerDigits[n^2]}, Sort[idn] == Sort[IntegerDigits[(n + 1)^2]]]; Select[Range[100000], okQ]
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CROSSREFS
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Sequence in context: A142104 A140020 A130868 this_sequence A125470 A016125 A015470
Adjacent sequences: A072838 A072839 A072840 this_sequence A072842 A072843 A072844
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KEYWORD
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nonn,base
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AUTHOR
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Harvey P. Dale (hpd1(AT)nyu.edu), Aug 09 2002
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