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A121894 Van der Waerden numbers: A005346(n) - 1. 1
0, 2, 8, 34, 177 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

COMMENTS

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.

EXAMPLE

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.

CROSSREFS

Sequence in context: A030944 A030871 A030960 * A061370 A126328 A191569

Adjacent sequences:  A121891 A121892 A121893 * A121895 A121896 A121897

KEYWORD

nonn

AUTHOR

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

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Last modified February 16 08:58 EST 2012. Contains 205901 sequences.