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A136836
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Numbers k such that k and k^2 use only the digits 0, 1, 2 and 9.
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3
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0, 1, 10, 11, 100, 101, 110, 1000, 1001, 1010, 1011, 1100, 1101, 10000, 10001, 10010, 10011, 10100, 10110, 11000, 11001, 11010, 100000, 100001, 100010, 100011, 100100, 100101, 100110, 101000, 101001, 101100, 110000, 110001, 110010, 110100, 1000000, 1000001, 1000010, 1000011, 1000100
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OFFSET
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1,3
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COMMENTS
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Generated with DrScheme.
Comparison of b-files indicates that the first difference from A136831 is at the 1262nd entry. - R. J. Mathar Apr 29 2008
More precisely, A278038(18) = 10101, A136827(294) = 10110001101 resp. A136808(1262) = A136831(1262) = 101100000000000 are the first terms from where on these four sequences differ from the present one; a(1262) = 101090009991101 is also the first term containing a digit > 1. - M. F. Hasler, Nov 15 2017
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LINKS
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EXAMPLE
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101090009991101^2 = 10219190120000900002099192201.
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MATHEMATICA
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With[{c={0, 1, 2, 9}}, Select[FromDigits/@Tuples[c, 7], SubsetQ[c, IntegerDigits[#^2]]&]] (* Harvey P. Dale, Feb 11 2024 *)
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CROSSREFS
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The first 1261 terms are also a subsequence of A278038 (binary numbers without '111'), in turn a subsequence of the binary numbers A007088.
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KEYWORD
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base,nonn
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AUTHOR
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Jonathan Wellons (wellons(AT)gmail.com), Jan 22 2008
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STATUS
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approved
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