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A136836 Numbers n such that n and the square of n contain only the digits 0, 1, 2 and 9. 3
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

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

LINKS

Jonathan Wellons, Table of n, a(n) for n=1..1360

J. Wellons, Tables of Shared Digits

EXAMPLE

101090009991101^2 = 10219190120000900002099192201

CROSSREFS

Cf. A136808, A136809, A136810, ..., A137147 for other digit combinations.

See also A058412 = A058411^2 : squares having only digits {0,1,2}, A277946 = A277959^2 = squares whose largest digit is 2.

The first 1261 terms are also a subsequence of A278038 (binary numbers without '111'), in turn a subsequence of the binary numbers A007088.

Sequence in context: A278038 A136832 A136808 * A136827 A136831 A204009

Adjacent sequences:  A136833 A136834 A136835 * A136837 A136838 A136839

KEYWORD

base,nonn

AUTHOR

Jonathan Wellons (wellons(AT)gmail.com), Jan 22 2008

STATUS

approved

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Last modified May 29 09:36 EDT 2020. Contains 334698 sequences. (Running on oeis4.)