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Array[Min@ Map[Length, Select[Split@ IntegerDigits[#, 2], First@ # == 1 &]] &, 105] (* Michael De Vlieger, Oct 26 2017 *)
Michael De Vlieger, <a href="/A144790/b144790.txt">Table of n, a(n) for n = 1..16384</a>
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__Leroy Quet__, , Sep 21 2008
__Leroy Quet_, _, Sep 21 2008
_Leroy Quet, _, Sep 21 2008
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Consider the runs of 1's in the binary representation of n, each of these runs being on the edge of the binary repersentation representation n and/or being bounded by 0's. a(n) = the length of the shortest such run of 1's in binary n.
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