

A137416


Smallest nontrivial square (i.e., not of the form 10^2k, k > 0) with exactly n identical adjacent digits.


0



1, 144, 1444, 1666681, 111112681, 3333330225, 132922222225, 1433333333961, 2582708888888881, 28777777777780164, 88888888888905609, 55555555555566005625, 2222222222222640225, 4777777777777776827176356
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OFFSET

1,2


COMMENTS

Since a(13) < a(12), a(13) is actually the smallest nontrivial square with at least 12 identical adjacent digits. a(12) is the smallest containing 12, but not more than 12, identical adjacent digits.  Jon E. Schoenfield, May 16 2010


LINKS



EXAMPLE

a(3) = 1444 because it has 3 adjacent 4's, and no square less than 1444 has 3 adjacent digits which are the same.


CROSSREFS



KEYWORD

nonn,base,more


AUTHOR



EXTENSIONS



STATUS

approved



