[seqfan] A variant of A114055 (runs of equal parity digits alternate)
Eric Angelini
Eric.Angelini at kntv.be
Fri Oct 1 16:18:08 CEST 2010
Hello SeqFans,
Here is A114055:
«Self-describing sequence :
runs of equal parity digits alternate
("0" is considered as an even digit);
the length of each run is given by the sequence itself.»
http://www.research.att.com/~njas/sequences/A114055
Let us drop the (not mentioned) constraint that a(n-1)<a(n)
and replace the definition by:
"Always take the smallest available integer not yet in
the sequence such that runs of equal parity digits
alternate ("0" is considered as an even digit)
and such that the length of each run is given by the
sequence itself."
We would then have (I think) this permutation of N:
S=1,2,4,3,5,7,9,6,8,21,11,13,20,22,24,21,15,17,19,31,28,40,42,...
o e e o o o o e e eo oo oo ee ee ee eo oo oo oo oo ee ee ee
1 2 4 3 5 7 9 6 <-- this is S
Best,
É.
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