More about two-valued sequences
N. J. A. Sloane
njas at research.att.com
Tue Oct 21 23:16:33 CEST 2003
More about two-valued seqs., and a reply to Roland Bacher:
Superseeker does a pretty good job already with 2-valued sequences
To test this, send it the Thue-Morse sequence with the
values 0 and 1 replaced say by 8 and 9, and
watch what happens!
The following is from the help page for superseeker:
. For a 2-valued sequence,
Superseeker finds the 6 characteristic integer sequences
associated with the sequence
and looks them up in the OEIS
Suppose the sequence takes the values X and Y. The 6
characteristic sequences, all equivalent to the original, are:
replace X,Y by 1,2; by 2,1;
the positions of the X's, of the Y's;
the run lengths;
and the derivative, i.e. the positions where the sequence changes.
MEMO TO SEQFANS: it would be very nice if , whenever you are
studying a two-valed sequence in the OEIS, you made
sure that all 6 of the characteristic sequences
associated with it are also in the OEIS!
Maybe someone could do this for all the usual suspects - Thue-Morse,
Moebius, etc.!
Thanks
Neil
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