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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 (list; graph; refs; listen; history; text; internal format)
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
See A169859 for another version.
Sequence in context: A023096 A223435 A169859 * A109117 A209205 A223594
KEYWORD
nonn,base,more
AUTHOR
Randy L. Ekl, Apr 15 2008
EXTENSIONS
a(11) from Donovan Johnson, May 08 2010
a(12)-a(14) from Jon E. Schoenfield, May 16 2010
STATUS
approved

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Last modified March 1 16:12 EST 2024. Contains 370442 sequences. (Running on oeis4.)