1,2

The maximum length of a string of 0's and 1's with no n-length "decimated substring" being all 0's or all 1's. A decimated substring is defined to be any subset {x_a, x_(a+p), x_(a+2p), x_(a+3p), ...} for any appropriate a, p.

Some authors prefer this version to A005346.

a(3) = 8 because 00110011 is the maximal string for n=3: appending 1 gives ......111 and appending 0 gives 0...0...0. No other starting string improves on this.

Sequence in context: A030944 A030871 A030960 this_sequence A061370 A126328 A013026

Adjacent sequences: A121891 A121892 A121893 this_sequence A121895 A121896 A121897

nonn

James Dow Allen (jamesdowallen(AT)gmail.com), Sep 01 2006