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Smallest index at which A242018 contains a run of n consecutive 1s.
2

%I #12 Aug 14 2014 02:18:10

%S 2,4,7,26,27308

%N Smallest index at which A242018 contains a run of n consecutive 1s.

%C a(6) has 520 decimal digits.

%C It is unknown whether or not this sequence is finite.

%H Nathaniel Johnston, <a href="/A242020/b242020.txt">Table of n, a(n) for n = 1..6</a>

%H MathOverflow, <a href="http://mathoverflow.net/questions/177996/do-runs-of-every-length-occur-in-this-sequence">Do runs of every length occur in this sequence?</a>

%H Programming Puzzles and Code Golf, <a href="http://codegolf.stackexchange.com/questions/35209/where-are-the-runs-in-this-infinite-string-cccccc-found">Where are the runs in this infinite string?</a>

%e a(3) = 7 because A242018(7) = A242018(8) = A242018(9) = 1, and this is the first time that there are three consecutive 1s in A242018.

%Y Cf. A242018.

%K nonn,hard,more

%O 1,1

%A _Nathaniel Johnston_, Aug 11 2014